4. What is the probability of rolling an even number of dets with a fair, six-sided die numbered one through six? 5. What is the word for the set of all possible outcomes? Let = the event that a player in an infielder, Let $$ H= $$ the event that a player is a great hitter, Let $$ O= $$ the event that a player is an outielder. 6. Write the symbols for the probability that a player is not an outfielder, 7. Write the symbols for the probability that a player is an infielder, given that the player is a great hitter,

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1. We first list the even numbers on a six-sided die: $$2, 4,$$ and $$6$$. Since there are 3 even numbers out of 6 possible outcomes, the probability is

$$
P(\text{even}) = \frac{3}{6} = \frac{1}{2}.
$$

2. The set of all possible outcomes is called the **sample space**.

3. The probability that a player is not an outfielder is written as

$$
P(O^c).
$$

4. The probability that a player is an infielder, given that the player is a great hitter, is written as

$$
P(I \mid H).
$$
1. The probability of rolling an even number is $$ \frac{1}{2} $$. 2. The set of all possible outcomes is called the **sample space**. 3. The probability that a player is not an outfielder is $$ P(O^c) $$. 4. The probability that a player is an infielder, given that the player is a great hitter, is $$ P(I \mid H) $$.

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