Question

In a game of baseball, the next batter has a 0.28 probability of getting a hit while the following two batters have a 0.25 and 0.30 probability of getting a hit respectively. What is the probability that at least one of the next three batters will get a hit?

Answer 1

The required probability is given by:

P(at least one of the next three batters will get a hit) = 1 - P(none of the three batters will get a hit)

= 1 - P(first batter will not get a hit)*P(second batter will not get a hit)*P(third batter will not get a hit)

[Since, the three batters are independent]

= 1 - (1-0.28)*(1-0.25)*(1-0.30)

= 1 - 0.72*0.75*0.70

= 1 - 0.378

= 0.622 [ANSWER]

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.