the probability of getting exactly 4 tails when 6 unbiased coins coins are tossed is?
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The probability of getting exactly 4 tails when six unbiased coins are tossed is
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Given : getting exactly 4 tails when 6 unbiased coins are tossed
To Find : Probability
Solution:
unbiased coin
P(T) p = 1/2
P(H) q = 1 - 1/2 = 1/2
n = 6 6 unbiased coins
x = 4 exactly 4 tails
P(x) = ⁿCₓpˣqⁿ⁻ˣ
probability of getting exactly 4 tails when 6 unbiased coins are tossed
= P(4)
= ⁶C₄(1/2)⁴(1/2)⁶⁻⁴
= 15 (1/2)⁶
= 15/64
= 0.234375
probability of getting exactly 4 tails when 6 unbiased coins are tossed = 15/64 or 0.234375
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