A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?

A. 10/27
B.5/91
C.5/98
D.93/182

BTW it is NOT D!!! kassidy is WRONG! it is actually B!! 5/91.

no hard feelings, kassidy.

mystery pls do not be inapropriate there are other people here y'know.

Well, let's see here. Jack wants a peach and Bethany wants an orange. I guess you could say Jack is feeling a little "peachy" and Bethany is in a bit of an "orange" mood.

Now, the total number of fruits in the basket is 3 + 2 + 2 + 2 + 5 = 14.

Jack wants a peach, and there are 5 peaches in total. So, the probability of Jack getting a peach is 5/14.

After Jack picks a fruit, there are now 13 fruits left in the basket. However, since Jack does not replace the fruit he picked, there are now 1 less orange in the basket. So, there are 2 - 1 = 1 orange left.

Bethany wants an orange, and there is now 1 orange left in the basket. So, the probability of Bethany getting an orange is 1/13.

To find the probability that both Jack gets a peach and Bethany gets an orange, we multiply the probabilities together: (5/14) * (1/13) = 5/182.

So, the answer is not any of the options given. However, if we simplify 5/182, we can bring it to the same terms as one of the options, which is 93/182.

Therefore, the closest option is D. 93/182.

Remember, even though it might seem like a "fruitful" opportunity for Jack and Bethany, probabilities are still serious business!

To find the probability that Jack gets a peach and Bethany gets an orange, we first need to determine the total number of outcomes, and then the number of favorable outcomes.

Total number of outcomes:
When Jack picks a fruit, there are a total of 3 + 2 + 2 + 2 + 5 = 14 fruits in the basket to choose from.

Number of favorable outcomes:
Since Jack picks a peach first, there are 5 peaches remaining in the basket. After Jack picks a peach, there are 13 fruits left in the basket. Among these, there are 2 oranges remaining.

Therefore, the number of favorable outcomes is 5 (for Jack picking a peach) multiplied by 2 (for Bethany picking an orange) = 10.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:

Probability = Number of favorable outcomes / Total number of outcomes = 10 / 14

Simplifying the fraction, we get:

Probability = 5/7

So, the probability that Jack gets a peach and Bethany gets an orange is 5/7.

None of the answer choices provided match this probability, so it seems there is an error in the options.

same old

15/182

It's D 93/182