Question

1)
A person draws 2 balls from a bag containing
3 white and 5 black balls. If he gets 10 for every
white ball drawn and 1 for every black ball
drawn, find his expectation.​

Answer 1

Answer:

Step-by-step explanation:

Here're 2 cases :

Both balls are white.

Both balls are black.

There're 8 balls out of which 5 are,white.  

Probability that 1st ball is white = 5/8.

Now, 7 balls are left out of which 4 are white.

Probability that 2nd ball is white = 4/7

By Bayes' theorem, probability that both balls are white = (5/8)*(4/7) = 5/14.