k heads and n k tails is the probability of getting heads, to the kth power, times the probability of getting tails, to the n kth power. oT provide a more rigorous explanation of the probability of Heads in the rst ip (this is not required for a full mark solution), denote R as the event that the coin with bias p is chosen and R as the event ... Find the minimum number of fire in order that the probability of hitting the target is at least 4/5. 15. In a competition, the chance for John gets the A price is 1/3 and gets the B price is 3/4.
When asked the question, what is the probability of a coin toss coming up heads, most people answer without hesitation that it is 50%, 1/2, or 0.5. we get this probability by assuming that the coin is fair, or heads and tails are equally likely. The probability for equally likely outcomes is:
There are three ways this can happen: zero, one, or two heads. The probability of fewer than three, then, is the sum of the probabilities of these results, 1/16 + 4/16 + 6/16 = 11/16 = 0.6875, or a little more than two out of three. So to calculate the probability of one outcome or another, sum the probabilities.