Question

If the probability that the Islanders will beat the Rangers in a game is 85%, what is the probability that the Islanders will win exactly three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

.138


.037


.158


.232

Answer 1

The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as

P(x=3)=0.26367

What is the probability that the Islanders will win exactly three out of five games in a series against the Rangers?

Generally, the equation for the probability is mathematically given as

P(x=3)=nC3 (P)^r (q)^{n-r}

Therefore

P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}

P(x=3)=10 (0.75)^3 (0.25)^{5-3}

P(x=3)=0.26367

In conclusion, The probability of the islander

P(x=3)=0.26367

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