Question

13. If ???? represents selecting a coconut-filled piece of chocolate, what does P(????1 and ????2) represent? Find this probability.

Answer 1

Hey, I think your question is incomplete so I am writing down the complete question below.

Q)There are 30 chocolates in the box, all identically shaped. Five are filled with coconut, 10 with caramel, and 15 are solid chocolate. You randomly select one piece, eat it and then select second piece. find the probability of selecting a coconut- filed chocolate followed by a caramel-filled chocolate?

Answer:

Probability of selecting a coconut- filed chocolate followed by a caramel-filled chocolate = 5/87

Explanation:

There are total 30 different chocolates in the box of which,

1. 5 chocolates are filled with coconut
2. 10 are filled with caramel
3. 15 are solid chocolates

Now for the first part where you select one chocolate filled with coconut, the probability will be

P(A) = Number of coconut filled chocolates/total number of chocolates

P(A) = 5/30

P(A) = 1/6

Now, since you have eaten one chocolate out of 30, hence you will be left with only 29 chocolates.

Now the probability of finding a second chocolate that is caramel filled will be,

P(B/A) = Number of caramel chocolates/Total number of chocolates

P(B/A) = 10/29

Probability of selecting a coconut filled chocolate followed by a caramel filled one will be,

= 1/6 * 10/29

= 5/87