Predict how many times the player will strike out

Question

During practice, a baseball player attempted 50 swings and hit 20% of the balls. Tomorrow at practice the player is planning to swing 75 times. 

Answer 1

It appears that you want a prediction of the second practice based on the first practice.

 

If my understanding is correct, then we can proceed as follows.

 

Practice 1 = 50 pitches x 20% hits = 50 pitches x .2 = 10 hits.

The opposite of getting a hit is to strike, so strikes = number of pitches - number of hits = 50 - 10 = 40 strikes

number of strikes ÷ 3 strikes per out = 13 outs

 

Practice 2 = 75 pitches x 20% hits = 75 pitches x .2 = 15 hits

In this case, the number of pitches - number of hits = number of strikes = 75 - 15 = 60 strikes; number of strikes ÷ 3 strikes/out = 20 outs

Answer 2

75 swings * .2 (odds) = 15 hits

75 - 15 = 60 misses, or strikes

60 / 3 (strikes to cause an out) = 20 outs