Hi Guys,

I came across the below problem in an online practice test..I wanted to check if my approach is rite?

There are 5 monkeys on an island. Each monkey has a boat. Each monkey take his boat and tries to get off the island. If the probability of each boat sinking is 1/4, what is the probability that all monkeys make it safely back except for King Kong who took the S.S. Banana, approximately?

Here's my aprroach:

P(boat sinking) = 1/4

P(boat not sinking) = 1-1/4 = 3/4

P(all monkeys make it safely except kingkong) = 3/4*3/4*3/4*3/4*1/4 = 81/1024.

After solving the problem, i had a second thought because the question asks for what is the probability that all monkeys make it safely ..

so would it just be:

P(all monkeys make it safely except kingkong) = 3/4*3/4*3/4*3/4= 81/256.

any suggestions pls?

Regards,

Anu

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