SOLUTION: Consider n independent trials of an experiment in which each trial has two possible outcomes: "success" or "failure." The probability of a success on each trial is p, and the proba

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Question 1179301: Consider n independent trials of an experiment in which each trial has two possible outcomes: "success" or "failure." The probability of a success on each trial is p, and the probability of a failure is q = 1 − p. In this context, the term nCkpkqn−k in the expansion of (p + q)n gives the probability of k successes in the n trials of the experiment.
The probability of a baseball player getting a hit during any given time at bat is 1/4. To find the probability that the player gets three hits during the next 11 times at bat, evaluate the term shown below in the expansion of (1/4 + 3/4)11. (Round your answer to four decimal places.)
11C3(1/4)^3(3/4)^8
Answer by ikleyn(52861) About Me  (Show Source):
You can put this solution on YOUR website!
.

Your formula is correct.

Go boldly forward to evaluate its numerical value, if you need.