In 1947 Joe Dimaggio set the Major League Baseball Record of getting at least on
ID: 3062867 • Letter: I
Question
In 1947 Joe Dimaggio set the Major League Baseball Record of getting at least one hit in 56
consecutive games (for which he won the MVP that year). Suppose that a baseball player today has a
batting average of 0.350.
a) If this player is up to bat 4 times in a game find the probability of getting at least one hit in these 4 at
bats.
b) Find the probability that if this player has 4 at bats in 56 consecutive games, he gets at least one hit in
each of these games.
c) Find the minimum batting average of a player who would have a 10% chance of breaking this record.
Explanation / Answer
a) probability of getting at least one hit in these 4 at bats =1-P(no hit) =1-(1-0.350)4 =0.8215
b)probability getting at least one hit in each of these games =(0.8215)56 =0.0000165 ~0.00002
c)let betting average is p
hence (1-(1-p)4)56 =0.1
from above p =0.5520