Consider the trial on which a 3 is first observed in successive rolls of a six-sided die. Let A be the event that 3 is observed on the first trial. Let B be the event that at least two trials are required to observe a 3. Assuming that each side has probability 1/6, find (a) P(A), (b) P(B), and (c) P(A ∪ B).

Step 1 of 4

We have the trial on which a 3 is first observed in successive rolls of a six-sided die.

Let A be the event that 3 is observed on the first trial.

Let B be the event that at least two trials are required to observe a 3. And

probability of each side has .

We need to find,

(a) P(A),

(b) P(B), and

(c) P(A B).