Outcome FrequencyTwo 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?Two heads63One head,one tailTwo tails10235a) How is the probability that both coins show heads found?O A. Divide the frequency of "two heads" by the total.O B. Subtract the probability of "two tails" from 1.O C. Find the sum of the probabilities to "two heads" and "one head, one tail."O D. Find the sum of the probabilities of "two heads" and "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?O A. P(at least one H) = 1- (P(two H) + P(one H, one T))O B. P(at least one H) = P(two H) + P(two T)- P(one H, one T)OC. P(at least one H) = P(two H) + P(one H, one T) - P(two T)O D. P(at least one H) = 1- P(two T)The probability that at least one of the coins shows heads is(Simplify your answer.)c) What formula should be used to find the probability that the two coins show the same side?O A. P(same side) = P(two H) + P(two T)O B. P(same side) = P(two H) + P(two T) - P(one H, one T)OC. P(same side) = 1- (P(two H) + P(two T))O D. P(same side) = P(two H) P(two T)The probability that the two coins show the same side is(Simplify your answer.)

It is given that Number of times two head occurs = 63 Number of times one head and one tail occurs =…

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?

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?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.3: Binomial Probability

Problem 32E

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