Question 1105592: A coin is tossed 5 times; find the
probability of getting at least 1 tail. Would you consider
this event likely to happen? Explain your answer
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! Probability (P) (of getting at least one tail in 5 tosses) = 1 - P(0 tails in 5 tosses)
:
use binomial probability formula
:
P (k successes in n trials) = nCk * p^(k) * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)
:
for this problem, p = 0.5, n = 5, k = 0
:
P (o tails in 5 tosses) = 5C0 * (0.5)^0 * (0.5)^(5-0) = 1 * 1 * (0.5)^5 = 0.03125
:
Probability (P) (of getting at least one tail in 5 tosses) = 1 - 0.03125 = 0.96875
:
yes, assuming we have a fair coin, we expect to have 5/2 tails when tossing 5 times which is > 1
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