Question:

Two unfair coins, both favoring heads, are tossed

Last updated: 8/11/2022

Two unfair coins, both favoring heads, are tossed

Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results shown to the right. a) What is the probability that both coins show heads? b) What is the probability that at least one of the coins shows heads? c) What is the probability that the two coins show the same side? ... a) How is the probability that both coins show heads found? A. Find the sum of the probabilities of "two heads" and "two tails." B. Find the sum of the probabilities to "two heads" and "one head, one tail." C. Divide the frequency of "two heads" by the total. D. Subtract the probability of "two tails" from 1. A. P(at least one H) = P(two H) + P(one H, one T) - P(two T) B. P(at least one H) = 1 (P(two H) + P(one H, one T)) C. P(at least one H) = P(two H) + P(two T) - P(one H, one T) D. P(at least one H) = 1- P(two T) Outcome Frequency 61 103 34 Two heads One head, one tail Two tails The probability that both coins shown heads is (Simplify your answer.) b) Let H represents heads and T represent tails. What formula should be used to find the probability that at least one of the coins shows heads?