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

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) (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.

RELATED QUESTIONS
A coin is Twice as likely to turn up Head as Tails in a sequences of independent tosses... (answered by ikleyn)

Toss a biased coin: for this coin the probability that it will show tail is 0.7. We toss... (answered by greenestamps)

A biased coin is tossed twice. This coin has a 90% chance of landing heads up. What is... (answered by stanbon)

A coin is biased to show 42% heads and 58% tails. The coin is tossed twice. What is the... (answered by reviewermath)

a coin is biased so that a head is twice as likely to occur as a tail.If the coin is... (answered by edjones)

A coin that is balanced should come up heads half the time in the long run. The... (answered by reviewermath)

On a certain biased coin, heads is twice as likely as tails. That is, P(H) = 2/3. What... (answered by richard1234)

A coin is biased so that a head is twice as likely to occur as a tail. If the coin is... (answered by reviewermath)

A coin is biased so that a head is twice likely as a head. If the coin is tossed three... (answered by stanbon)