3. In a Little League baseball game, the Cardinal's pitcher throws a strike 50% of the time and a ball 50% of the time, successive pitches are independent of one another and the pitcher never hits the batter. Knowing this, the Braves manager has instructed the first batter not to swing at any pitch. Calculate the probability that: a) The batter will walk on the 4th pitch. b) The batter walks on the 6th pitch. c) The batter walks.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3. In a Little League baseball game, the Cardinal's pitcher throws a strike 50% of the time
and a ball 50% of the time, successive pitches are independent of one another and the
pitcher never hits the batter. Knowing this, the Braves manager has instructed the first
batter not to swing at any pitch. Calculate the probability that:
a) The batter will walk on the 4th pitch.
b) The batter walks on the 6th pitch.
c) The batter walks.
Transcribed Image Text:3. In a Little League baseball game, the Cardinal's pitcher throws a strike 50% of the time and a ball 50% of the time, successive pitches are independent of one another and the pitcher never hits the batter. Knowing this, the Braves manager has instructed the first batter not to swing at any pitch. Calculate the probability that: a) The batter will walk on the 4th pitch. b) The batter walks on the 6th pitch. c) The batter walks.
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