SOLUTION: Toss a biased coin: for this coin the probability that it will show tail is 0.7. We toss coin twice. Find probability that we get no head

Question 1111535: Toss a biased coin: for this coin the probability that it will show tail is 0.7. We toss coin twice. Find probability that we get no head
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

P(no head) = P(tails twice) = (0.7)(0.7) = 0.49

P(exactly one head) = P(tails then heads OR heads then tails) = (0.7)(0.3)+(0.3)(0.7) = .21+.21 = .42

P(two heads) = (0.3)(0.3) = 0.09

Note that the probabilities of all possible cases sum to 1, as they must:
0.49+0.42+0.09 = 1.00
RELATED QUESTIONS
Many everyday decisions, like who will drive to lunch or who will pay for the... (answered by ikleyn)

What is the probability that you toss a coin and it lands on heads (answered by jim_thompson5910)

A fair coin is tossed 12 times, each time coming up heads. On the next coin toss, what is (answered by ikleyn)

Stephen flips a fair coin 7 times and each time it comes up heads. What is the... (answered by ikleyn)

The probability that an unbalanced coin lands on head is 1/ 5 . If this coin is tossed... (answered by greenestamps)

a coin is tossed 1000 times. what is the probability that the 785th toss is... (answered by Alan3354,stanbon)

You toss a fair coin 4 times. What is the probability that you get all heads... (answered by greenestamps,Alan3354)

You toss a coin 226 times. Find the probability that exactly 113 of the 226 tosses will... (answered by lynnlo)

You toss a coin 284 times. Find the probability that exactly 142 of the 284 tosses will... (answered by Fombitz)