SOLUTION: Now consider a biased coin that produces head 70% of the time. One tosses the coin twice. What is the probability that both tosses have the same outcome

Algebra ->  Probability-and-statistics -> SOLUTION: Now consider a biased coin that produces head 70% of the time. One tosses the coin twice. What is the probability that both tosses have the same outcome      Log On


   

Question 1152886: Now consider a biased coin that produces head 70% of the time. One tosses the coin twice. What is the probability that both tosses have the same outcome
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The space of events is this set with the associated probabilities


    HH   0.7*0.7 = 0.49

    HT   0.7*0.3 = 0.21

    TH   0.3*0.7 = 0.21

    TT   0.3*0.3 = 0.09.


The probability that both tosses have the same output is


    P = P(HH) + P(TT) = 0.49 + 0.09 = 0.58.    ANSWER

Solved.