Question

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.

Let I = the event that a player in an infielder.
Let O = the event that a player is an outfielder.
Let H = the event that a player is a great hitter.

Which is the correct symbol for the probability that a player is an infielder or is not a great hitter?

a. P(I|¯H)
b. P(¯H|I).
c. P(I or ¯H).
d. P(I and ¯H).

Answer 1

Answer: c.
`P(I \text{ or }\overline{H})`

Explanation:

Notation to show "not an event E" :
`\overline{E}`

Given: I = the event that a player in an infielder.

H = the event that a player is a great hitter.

= the event that a player is not a great hitter.

The correct symbol for the probability that a player is an infielder or is not a great hitter :
`P(I \text{ or }\overline{H})`

hence, the correct option is c.
`P(I \text{ or }\overline{H})`