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).