SOLUTION: A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the probability of getting a. exactly 2 tails? b. at least 3 heads

Algebra.Com
Question 778464: A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the probability of getting
a. exactly 2 tails?
b. at least 3 heads?

Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the probability of getting
P(H) = 2P(T)
P(H) + P(T) = 1
2P(T) + P(T) = 1
3P(T) = 1
P(T) = and P(H) =
a. exactly 2 tails?
X~Binomial(4, 1/3)
P(X = 2) = =
b. at least 3 heads?
Y~Binomial(4, 2/3)
P(Y≥3) = =

RELATED QUESTIONS

A coin is biased, so that the head is twice as likely to occur as tail. If the coin is... (answered by ikleyn,Edwin McCravy,greenestamps)
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 is biased such that the head is twice as likely to occur as tail. If this coin is... (answered by Boreal,rothauserc)
A coin is biased so that a head is twice likely as a head. If the coin is tossed three... (answered by stanbon)
a coin is weighted so that the head is twice as likely to occur as a tails. Find the... (answered by stanbon)
Let W be a random variable given the number of heads minus the number of tails in three... (answered by Fombitz)
Toss a biased coin: for this coin the probability that it will show tail is 0.7. We toss... (answered by greenestamps)
A coin is flipped twice. What is the probability that one head and one tail will... (answered by Edwin McCravy)
Please help me solve this question. A coin is biased so that it is twice as likely to... (answered by Theo)