Asked by Harry
Two identical biased coins are tossed together, and the outcome is recorded. After a large number of trials it is observed that the probability that both coins land showing heads is 0.36. What is the probability that both coins land showing tails?
Answer: 0.16
Thanks in advance to anyone who helps
Answer: 0.16
Thanks in advance to anyone who helps
Answers
Answered by
R_scott
though they are tossed together, the coins act independent of each other
the probability of two independent events occurring simultaneously
... is the product of their individual probabilities
p(h) * p(h) = .36 ... [p(h)]^2 = .36 ... p(h) = √.36 = .6
p(t) = 1 - p(h) = .4
probability of simultaneous tails ... [p(t)]^2 = .4^2 = .16
the probability of two independent events occurring simultaneously
... is the product of their individual probabilities
p(h) * p(h) = .36 ... [p(h)]^2 = .36 ... p(h) = √.36 = .6
p(t) = 1 - p(h) = .4
probability of simultaneous tails ... [p(t)]^2 = .4^2 = .16
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