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Daniel [21]
2 years ago
10

In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25

. Use the equation P(AUB)=P(A) + P(B) - P(ANB), where A and B are any events, to compute the probability that the number drawn is prime or greater than 12.
The probability that the number drawn is prime or greater than 12 is : ___________
Mathematics
1 answer:
Solnce55 [7]2 years ago
7 0

Answer:

17/25

Step-by-step explanation:

The equation for the probability of two events that are not mutually exclusive is:

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

A = the number is prime

B = the number is prime

The numbers are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Here are the 8 prime numbers that satisfy event A:

3, 5, 7, 11, 13, 17, 19, 23

p(A) = 8/25

Here are the 13 numbers that are greater than 12 that satisfy event B:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

p(B) = 13/25

Here are the 4 numbers that satisfy both event A and event B:

13, 17, 19, 23

p(A ∧ B) = 4/25

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

p(A ∨ B) = 8/25 + 13/25 - 4/25

p(A ∨ B) = 17/25

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Write the word sentence as an equation. Then solve the equation. A number $k$ increased by 7 is 34. An equation that represents
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Step-by-step explanation:

Here's the complete question:

Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.

An increase in k simply means that there's an addition. This will be:

k + 7 = 34

k = 34 - 7

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5 0
3 years ago
At a movie theater, admission tickets cost $10 for adults and $8 for children. On Saturday, Anne Teak collected a total of $1276
kow [346]

Answer:

Part a) variable x (the number of adult tickets sold) and variable y (the number of child tickets sold)

Part b) 10x+8y=1,276

Part c) The number of adult tickets sold was 86

Step-by-step explanation:

Part a) Name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold

Let

x -----> the number of adult tickets sold

y -----> the number of child tickets sold

Part b) Write an equation in two variables to model the problem

we know that

10x+8y=1,276 -----> equation A

y=52  -----> equation B

substitute equation B in equation A and solve for x

10x+8(52)=1,276

10x+416=1,276

Part c) Using your equation in Part B, solve the problem and answer the question "how many adult tickets did Anne sell?" i

we have

10x+416=1,276

Solve for x

Subtract 416 both sides

10x=1,276-416

10x=860

x=86

therefore

The number of adult tickets sold was 86

7 0
3 years ago
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