An urn contains 12 balls, of which 4 are white.
three players successively draw from the urn, a first, then b, then c, then a, and so on. the winner is the fist one to draw a white ball.
find the probability of winning for each player if:
a) each ball is replaced after being drawn.
b) the balls that are withdrawn are not replaced.

a)

b)

Step-by-step explanation:

Number of balls in the urn = 12

Number of white balls in the urn = 4

So, number of balls which are not white = 12 - 4 = 8

We know that probability = No. of outcomes/Total number of outcomes

Let denotes the event of getting white ball by A, B and C

a) each ball is replaced after being drawn.

Probability = Number of white balls/Total number of balls

Solution:

b)the balls that are withdrawn are not replaced.

Solution:

If A wins:

If A lost and B wins:

If A and B lost and C wins:

and so on....

45

step-by-step explanation: