Question

There are two bags. The first bag contains four mangos and two apples; the
second bag contains four mangos and four apples.
We also have a biased coin, which shows "heads" with probability 0.6 and
"tails" with probability 0.4. If the coin shows "heads". we pick a fruit at
random from bag 1; otherwise we pick a fruit at random from bag 2.

Your friend flips the coin (you cannot see the result), picks a fruit at random
from the corresponding bag, and presents you a mango.
What is the probability that the mango was picked from bag 2?

Answer 1

A.T.Q

second bag contains 4 mangoes

total mangoes in bag 1 and 2 = 8 mangoes

so the probability will be 4/8

after cutting them it will become

1/2

(simplest form of 4/8 is 1/2)

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