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Write the symbols for the probability that a player is an outfielder and is a great hitter.

Short Answer

Expert verified

The symbolsP[OH]that represent the likelihood of a player being an outfielder and a terrific hitter.

Step by step solution

01

Given

The following information is provided in the given question:

There are infielders and outfielders on a baseball team. Some players are excellent hitters, while others are not so good.

02

Explanation

The quiz asks you to write the symbols for an outfielder who is also a terrific batter.
As we can see, it is talking about "AND." In such case, we use the symbol "Intersection," written as " n," which signifies that it is present in both occurrences or, to put it another way, it is common to both.
Weemployaformulatodeterminetheprobability,suchasP[OH].
Where A and B are two occurrences, P[AB]=P(A)+P(B)-P(AB).
When events A and B are independent of one another, the intersection between them is zero P[AB]=P(A)×P(B). When events A and B are mutually exclusive, the intersection between them is zero P[AB]=0.

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Most popular questions from this chapter

Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38numbers, and each number is assigned to a color and a range.

a. List the sample space of the 38possible outcomes in roulette.

b. You bet on red. Find P(red).

c. You bet on -1st12- (1st Dozen). Find P1st12.

d. You bet on an even number. Find P(even number).

e. Is getting an odd number the complement of getting an even number? Why?

f. Find two mutually exclusive events.

g. Are the events Even and 1stDozen independent?

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German.Suppose P(A) = 0.4 and P(B) = 0.2. P(A AND B) = 0.08. Are events A and B independent? Hint: You must show ONE of the following:

• P(A|B) = P(A)

• P(B|A) = P(B)

• P(A AND B) = P(A)P(B)

Write the symbols for the probability that of all the outfielders, a player is not a great hitter.

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:

a. Let F = the event of getting the white ball twice.

b. Let G = the event of getting two balls of different colors.

c. Let H = the event of getting white on the first pick.

d. Are F and G mutually exclusive?

e. Are G and H mutually exclusive?

At a college, 72%of courses have final exams and 46%of courses require research papers. Suppose that 32%of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.

a. Find the probability that a course has a final exam or a research project.

b. Find the probability that a course has NEITHER of these two requirements.

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