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?

Question

Answer: 0.16
Thanks in advance to anyone who helps

Answer 1

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