Question

If the probability that the Islanders will beat the Rangers in a game is 0.87,

what is the probability that the Islanders will win exactly zero out of six
games in a series against the Rangers? Round your answer to the nearest
thousandth.

Answer 1

0.000

Explanation:

You want the probability of winning 0 games out of 6 if the probability of winning each game is 0.87.

Binomial probability

The probability of losing is 1 -0.87 = 0.13, so the probability of losing 6 in a row is 0.13^6 ≈ 4.8268×10^-6. Rounded to thousandths, this is 0.000.

The probability of losing a 6-game series is 0.000.

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Additional comment

The zero in the thousandths place is significant here, so we show them all. The calculator truncates trailing zeros.

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