In a chess tournament, 10 games are being played, independently. Each game ends in a win for one player with probability 0.4 and ends in a draw (tie) with probability 0.6 . Find the probability that exactly 5 games end in a draw.

The probability that exactly 5 games end in a draw is 0.201.

Step-by-step explanation:

The random variable X can be defined as the number of games that end in a draw.

The tournament consists of n = 10 games, being played independently.

The probability of a game ending in a draw is, p = 0.60.

A randomly selected game ending in a draw is independent of the other games.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.60.

The probability mass function of X is:

Compute the probability that exactly 5 games end in a draw as follows:

Thus, the probability that exactly 5 games end in a draw is 0.201.

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step-by-step explanation: