1. A coin is tossed until a head appears twice in a row. If the coin is fair, wh
ID: 3334919 • Letter: 1
Question
1. A coin is tossed until a head appears twice in a row. If the coin is fair, what is the probability that it will be tossed a) exactly 4 times, b) exactly 6 times? .lP(Ak) for any counting Prove Boole's Inequality P(Uk=1 Ak) num ber n E N, hence also for n = oo, and then use it to establish the Bonferroni inequality PA (n-1)-XkP(Ak 2. 3. If two fair dice are tossed, obtain the probability mass function (pmf) for the random variable X that describes the total showing on both. Tabulate this or otherwise express it as an explicit function of its possi ble valuesExplanation / Answer
a) The coin is tossed 4 times in the following ways:
Therefore the required probability here is 0.0625 + 0.0625 = 0.125
b) The coin is tossed 6 times in the following ways:
Therefore, the required probability here would be computed as: = 5*0.015625 = 0.078125
Therefore 0.078125 is the required probability here.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.