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Slippery Elumis a baseball pitcher who uses three pitches, 60% fastball, 25% curveballs and the rest spitballs. Slippery is pretty accurate with his fastball(about 70% are strikes), less accurate with his curveball(50% strikes), and very wide with his spitball(only 30% strikes). Slippery ends one game with a strike on the last pitch he throws. What is the probability that pitch was a curveball?

Question

Slippery Elumis a baseball pitcher who uses three pitches, 60% fastball, 25% curveballs and the rest spitballs. Slippery is pretty accurate with his fastball(about 70% are strikes), less accurate with his curveball(50% strikes), and very wide with his spitball(only 30% strikes). Slippery ends one game with a strike on the last pitch he throws. What is the probability that pitch was a curveball?

check_circleAnswer
Step 1

Given Slipper has three pitches, 60% of  fast ball, 25% of  curve balls and 15% of spitballs.

When Slipper pitches a ball then probability of fast ball P(F) = 0.6

probability of curev ball P(C) = 0.25

probability of spit ball P(S) = 0.15

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