SOLUTION: A certain unfair coin lands on heads 1/3 of the time. The coin is tossed 5 times. Finds the probability of no more than 3 heads

Algebra.Com
Question 666610: A certain unfair coin lands on heads 1/3 of the time. The coin is tossed 5 times. Finds the probability of no more than 3 heads


Answer by swincher4391(1107)   (Show Source): You can put this solution on YOUR website!
Probability of heads = 1/3
Probability of tails = 2/3
P[no more than 3 heads] = 1-P[4 heads or 5 heads] = 1-(P[4 heads] + P[5 heads])
1 - ((5 choose 4)(1/3)^4*(2/3)^1 + (5 choose 5)(1/3)^5(2/3)^0) = 0.9547

RELATED QUESTIONS

an unfair coin lands on tails 1/3 of the time. the coin is tossed 4 times. what is the... (answered by stanbon)
An unfair coin has a probability 0.6 of landing heads. The coin is tossed four times.... (answered by jim_thompson5910)
An unfair coin has probability p of landing heads up on a single flip, where 0 < p < 1.... (answered by greenestamps)
An unfair coin has probability 0.3 of landing heads. The coin is tossed six times. What... (answered by greenestamps)
an unbiased coin is tossed 5 times. what is the probability the coin lands heads more... (answered by robertb)
A coin is biased so that the probability that it lands showing heads is 2/3.The coin is... (answered by Fombitz)
an unbiased coin is tossed 5 times find the probability of the given event. the coin... (answered by robertb)
An unbiased coin is tossed four times. Find the probability of the given event. (Round... (answered by solver91311)
an unfair coin lands heads 65% of the time. This coin is flipped 1500 times. What is the... (answered by Boreal)