A game involves rolling two dice, one after the other. jenny wins the game if both dice are even. Henry wins the game if either die is a 4.
-How may different outcomes are there ?
-list the outcomes for Jenny
-list the outcomes for Henry
-What is the probability that Jenny wins?
-What is probability that Henry wins?
-Is the game fair? why
-Are there any outcomes where the game will result in a tie ?
Answers
A. The total outcomes would simply be the product of the number of sides of the two dice, that is:
Total different outcomes = 6 * 6
Total different outcomes = 36
B. The combinations that both dice are even are:
2 – 2, 4 – 4, 6 – 6, 2 – 4, 2 – 6, 4 – 2, 4 – 6, 6 – 2, 6 – 4
So 9 combinations for Jenny
C. The combinations that at least one die is a 4 are:
4 – 4, 4 – 1, 4 – 2, 4 – 3, 4 – 5, 4 – 6, 1 – 4, 2 – 4, 3 – 4, 5 – 4, 6 - 4
So 11 combinations for Henry
D. The probability that jenny wins would simply be the ratio of the number of combinations for Jenny over the total number of combinations, that is:
P (Jenny) = 9 / 36 = 0.25 = 25%
So there is a 25% chance that Jenny will win.
E. The probability that Henry wins would simply be the ratio of the number of combinations for Henry over the total number of combinations, that is:
P (Henry) = 11 / 36 = 0.3056 = 30.56%
So there is a 30.56% chance that Jenny will win.
F. No the game is not fair because Henry has a higher chance of winning than Jenny. For it to be fair, they should have the same probability of winning.
G. We can see that there are actually combinations in which both Jenny and Henry would win. These are:
4 – 4, 4 – 2, 4 – 6, 2 – 4, 6 – 4
So there are 5 combinations in which both of them would win.
So the chance of being tie is:
P(tie) = 5 / 36 = 0.1389 = 13.89%
Hence a 13.89% chance of getting a tie
Related Questions
−100%+0.58
plzz help
Answers
so, -100/100+0.58 = -1+0.58 = -0.42
explain how multiplying playing with 6 is like multiplying with 3
Answers
3×2=6
Any number that's multiplied by 6 will be the double of any number multiplied by 3, or vice versa, any number multiplied by 3 will be half of any number multiplied by 6. This is because 6 is a multiple of 3.
Take for example:
850×6=5100 ⇔ 850×(3×2)=5100
angle P and angle Q are supplementary. If angle P = 2x and angle Q = x-3, find X
Answers
3x-3=180
3x=183
x=61
The angles P and Q are supplementary, meaning together they add up to 180 degrees. Based on the given expressions for these angles, solving for x yields x equals 61.
The given problem describes supplementary angles P and Q. Supplementary angles are two angles whose measures add up to 180 degrees. In this case, angle P is represented by 2x and angle Q is represented by x-3. The equation representing these supplementary angles is therefore 2x + (x - 3) = 180.
Combining similar terms, this equation simplifies to 3x - 3 = 180. To solve for x, add 3 to both sides obtaining 3x = 183. Finally, divide each side by 3 to find x = 61.
Learn more about Supplementary Angles here:https://brainly.com/question/18164299
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Evaluate log64 + 2log5 - 2log40
Answers
The most efficient first step in the process to factor the trinomial 3x3-24x2+36 is
Answers
B. Factor out 3x. on apex quite simple
I need help with these 2 questions. I will give BRAINLIEST!!!
Number 1
TJ, Max, and Misha are all the same age. The sum of their ages is s years. How old was TJ eight years ago?
Number 2
Alex is 3 times as old as he was 2 years ago. How old is he now?
Thanks!!!!!
Answers
I cannot find the answer for number 1 it isn't ringing a. bell
Walter is mixing cement for his new patio. He knows he needs to water-to-cement ratio of 20-30. What percent of his total mixture is water?
Answers
Divide the number of parts of water (20) over the total number of parts (50)
20/50 = 2/5 = 0.40
use a calculator or long division to find the decimal form of 2/5 to be 0.40
Then move the decimal point 2 spots to the right to go from 0.40 to 40%
Answer: the percent of water in the mix is 40%
Final answer:
To find the percentage of water in Walter's mixture with a water-to-cement ratio of 20-30, the water part is 20 out of 50 total parts, which equates to 40% of the mixture being water.
Explanation:
Walter needs a water-to-cement ratio of 20-30 for his patio cement mixture. To find out what percent of his total mixture is water, we can interpret the ratio as a fraction and then convert that fraction to a percentage. The fraction for water is 20 parts out of a total of 20 (water) + 30 (cement) parts, which is 20/50. To convert this to a percentage, we multiply by 100%.
Calculating the percentage: (20/50) × 100% = 40%
Therefore, 40% of Walter's total mixture is water.
Convert: 2°C to °F (to the nearest tenth).
Answers
1) Tf = 9/5(2) + 32
2) Tf = 3.6 + 32
3) Temperature of farenheit = 35.6
Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted. Let m represent the weight of the boxes that Marco lifted.Which expression represents the total number of pounds Drew lifted?14(m−8)112m9(m+8)m−8
Answers
if m = weight of boxes and the boxes drew lifted were 8 pound less you would have (m-8)
Marco lifted 14 boxes so the equation would be 14(m-8)
PLEASE ANSWER IF YOU CAN!
The table shows the lowest temperatures of several cities.
(a) Plot and label the temperature of each city on a vertical number line.
(b) Calculate the temperature difference between each pair of cities. Organize your results in a table.
Answers
Part B:
Smithon to Hedgeborough: 2.5
Smithon to East Bunting: 3
Hedgeborough to East Bunting: -0.6
HELP!!! ASAP
how would i write this into a conditional statement
3x-7=14 implies that 3x=21
Answers
Conditional Statements always have if-then
In a bicycle race, Rhonda’s time was 3.8 min. faster than Stephanie’s time. If t represents Rhonda’s time, which equation is true?
A.
41.2 + 3.8 = t
B.
41.2 – 3.8 = t
C.
3.8 t = 12
D.
3.8 t = 41.2
Answers
Hope I helped
Brainliest if satisfied :D
Which doubles fact can help you solve 4+5
Answers
if h(x)=3^x-7 find h(4) show all work
[tex]h(x) = {3}^{x} - 7[/tex]
Answers
h(4) = 3^4 - 7 = 81 - 7 = 74 (answer)
h(4) = (3^4) - 7 ... replace every x with 4; then use PEMDAS to simplify
h(4) = 81 - 7
h(4) = 74
Answer: 74
Side Note: 3^4 means we have four copies of '3' being multiplied together
3^4 = 3*3*3*3 = 9*9 = 81
What is
1.5 repeated as a fraction
Answers
.5 = 1/2
so 1.5 would be 1 1/2 as a fraction
expand and simplify (x-3)(x+7)
Answers
I mean: x*x; x+7; -3*x; -3*7
So x²+7x-3x-21
We add up like terms.
Final answer: x²+4x-21
x² + 7x -3x -21
x² +4x -21
that's the answer
if you understand and it's correct. don't forget to make my answer the brainliest
what is 25%of $80
[tex]1 \div 25 \times 80[/tex]
Answers
1/25 * 80 = 1/25 * 80/1 = 80/25 = 3.2
Alejandro and Pedro are riding their bike to school. After 1 mile, the are 5/8 of the way there. How much farther do they have to go?
Answers
cross multiply
5/8x = 1
x = 1 / (5/8)
x = 1 * 8/5
x = 8/5 or 1 3/5 miles...total distance
and if they already rode 1 mile.....(1 3/5 - 1) = 3/5 of a mile left to go <==
There are 2 rows of 8 chairs use the distributive property to solve
Answers
2(8)=?
8 x 2= 16.
I hope this the answer to your question.
−13−(−12)
A number line ranging from negative one to one with an arrow on both ends and tick marks every one third
−16
0
16
12
Answers
Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]-\frac{1}{3}-(-\frac{1}{2})[/tex]
We know that (-)(-)=(+). So, the given expression can be written as
[tex]-\frac{1}{3}+\frac{1}{2}[/tex]
Taking LCM we get
[tex]\frac{-2+3}{3\times 2}[/tex]
[tex]\frac{1}{6}[/tex]
The value of given expression is 1/6.
Two numbers are [tex]-\frac{1}{3}\text{ and }-\frac{1}{2}[/tex]. Mark these point on the given number number.
Now, move from [tex]-\frac{1}{2}[/tex] to [tex]-\frac{1}{3}[/tex] and count the number of jumps.
Number of jumps from [tex]-\frac{1}{2}[/tex] to [tex]-\frac{1}{3}[/tex] is 1.
1 Jump = 1/6
Therefore, the value of given expression is 1/6, therefore the correct option is C.
How do you write 26/10 as a percentage
Answers
The way we explain this is you multiply 26 * 10 and 10 * 10. You get 260/100.
260/ 100 as a percentage is 260%.
There are 9 book on the shelf. 9 are blue and the rest are green. How many books are green?
Answers
Harvey needs to raise $400 he has 100 books to sell at $8.00 each what inequality shows this
Answers
x ≥ 100
these are the inequalities you need, first find x, then plug x in to top inequality
hope this helps
Prove that triangle ABC must be isosceles
Answers
Then find <DCB: 180º - 90º - nº = 90-nº
Angle <ACB doesn't change: it is 90-n
but, <ABD is only part of <ABC: if we add <ABD with <DBC then we get 90-2n+n = 90-n
Definition of an isoceles triangle: It has two sides that are congruent or has two angles that are congruent.
Because both <ABC and <ACB equal 90-n the triangle ABC is an isoceles triangle.
Hope this Helps, and May the Force Be With You!
-Jabba
Write 2036017 in expanded form using exponents
Answers
2 × 10 to the 6th power + 0 × 10 to the 5th power + 3 × 10 to the 4th power + 6 × 10 to the 3rd power + 0 × 10 to the 2nd power + 1 × 10 to the 1st power + 7 × 10 to the 0 power
The value of 2036017 in expanded form using exponent is expressed as (2 × 10⁶) + (3 × 10⁴) + ( 6 × 10³) + 10¹ + 7
Given the value 2036017, we are to express it in expanded form as shown:
2036017 = 2,000,000 + 30000 + 6000 + 10 + 7
Express each term as exponents
2,000,000 = 2 × 10⁶
30000 = 3 × 10⁴
6000 = 6 × 10³
10 = 10¹
Taking the sum of the exponents
2036017 = (2 × 10⁶) + (3 × 10⁴) + ( 6 × 10³) + 10¹ + 7
Hence the value of 2036017 in expanded form using exponent is expressed as (2 × 10⁶) + (3 × 10⁴) + ( 6 × 10³) + 10¹ + 7
Learn more here: https://brainly.com/question/17584002
How long does it take each horse to run a mile
Answers
The correct answer is;
Horse A will take 4 minutes to run 1 miles, while horse B will take 2 minutes 30 seconds to run 1 mile.
Analysing the graph, the Distance is measured in miles, while the Time is measured in minutes.
For horse A, the time taken to run 1 miles is 4 minutes, according to the graph.
For horse B, the time taken to run 1 mile is 2 minutes 30 seconds according to the graph.
Therefore, according to the graph, it will take horse A and horse B, 4 minutes and 2 minutes 30 seconds respectively, to run a mile.
Carol’s car seats one third the number of people that Joan’s car can seat. Two people can be seated in Carol’s car. How many people can Joan’s car seat?
Answers
20 POINTS PLEASE HELP
Which story problem could be solved using the given equation? 1/4×3/5=m
Christie hiked 1/4 mile on the trail. Jackie hiked 3/5 mile farther than Christie. How far, in miles, did Jackie hike on the trail?
Shawn made a poster that has a width of 1/4 meter and a length of 3/5 meter. What is the perimeter, of Shawn’s poster?
There is 3/5 of a box of dog treats in the cupboard. Jill’s dog eats 1/4 of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog?
In Sophie’s doll collection, 3/5 of the dolls are in their original boxes. Sophie plans to donate 1/4 of the dolls in these boxes to charity. How much of her doll collection will Sophie donate to charity?
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How do I solve this equation?
6 - 0.25f = f - 3
Answers
Dolores bought 15 party hats priced at $0.75 each and 15 noisemakers priced at $1.25 each. How much did Dolores spend in all?
Answers
i hope this helps and have a wonderful day!