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Chris, nina, and iana each have a 3/4 chance of going to cafe shirley for an afternoon coffee at 1:00pm. jeffrey will only go to cafe shirley for a coffee if at least one of his friends is at the cafe. what is the probability that jeffrey goes to cafe shirley for a coffee today?

User Fletom
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2 Answers

1 vote

Final answer:

P = 63/64

The probability that Jeffrey goes to Cafe Shirley for a coffee, given that each of his friends has a 3/4 chance of going, is 63/64 because he will only go if at least one friend is present.

Step-by-step explanation:

To calculate the probability that Jeffrey goes to Cafe Shirley for a coffee, we must first consider the probability that none of his friends go to the cafe.

Since Chris, Nina, and Iana each have a 3/4 chance of going to the cafe, the probability that any one of them doesn't go is 1 - 3/4 = 1/4.

We then calculate the probability that none of them go, which is the product of each person's individual probability of not going: (1/4) * (1/4) * (1/4) = 1/64.

Therefore, the probability that at least one of them does go to the cafe is 1 - 1/64 = 63/64.

Consequently, this is also the probability that Jeffrey goes to Cafe Shirley for a coffee since he only goes if at least one of his friends is there.

User Rudolph Gottesheim
by
3.4k points
3 votes

Answer:

Jeffrey has 225 % chance to go to Cafe Shirley.

Step-by-step explanation:

given,

chance of going to Cafe

Chris = 3/4

Nina =3/4

iana = 3/4

To find the total probability you should add all of them:

Total probability= 3/4 + 3/4 + 3/4

= 9/4 = 2.25

to convert to percent you should times 100

2.25 x 100 = 225%//

User George Newton
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3.2k points