Question

). When Susan and Jessica play a card game, Susan wins 60% of the time. There is no chance for a draw If they play 6 games, What is the probability that ….(Do not round off the final answer)

a) Susan win exactly all 4 games

Answer 1

Let X denote the random variable representing the number of games won by Susan out of the 6 games played between Susan and Jessica.

Now, since each game is independent and the probability that Susan wins in any one game is 60% = 0.6.

Thus, we conclude that: X ~ Bin(n = 6, p = 0.6) and the probability mass function of X is given by:

Now, the probability that Susan wins exactly 4 games is given by:

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