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If the probability that the Islanders will beat the Rangers in a game is 5/9, what is the probability that the Islanders will win exactly three out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.​

Sagot :

Based on the information given, it can be deduced that the probability that the Islanders will win exactly three out of seven games will be 0.1756.

How to solve probability

From the information given, it was stated that the probability that the Islanders will beat the Rangers in a game is 5/9.

Therefore, the probability that the Islanders will win exactly three out of seven games in a series against the Rangers will be:

= 5/9 × 5/9 × 5/9

= 0.56 × 0.56 × 0.56

= 0.1756

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