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Question -

A bag consists of 10 balls each marked with one of the digits 0 to 9. If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?



Answer -

Let us assume thatnumber of balls with digit marked as zero among the experiment of 4 balls drawnsimultaneously be x.

As we can see that theballs are drawn with replacement, thus, the trial is a Bernoulli trial.

Probability of a balldrawn from the bag to be marked as digit 0 = 1/10

It can be clearlyobserved that X has a binomial distribution with n = 4 and p = 1/10

Thus, q = 1 – p = 1 –1/10 = 9/10

Thus, P(X = x) = nCqn-x px,where x = 0, 1, 2, …n

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