A softball player bats twice in a game. Each at-bat results in an out, getting on base, or hitting a home run. What is the number of possible outcomes in the sample space?
A) 3
B) 6
C) 9
D) 12
3 outcomes per hit
3 hits
so, ...
thank you
To find the number of possible outcomes in the sample space, we multiply the number of outcomes for each at-bat.
For the first at-bat, there are 3 possible outcomes: out, getting on base, or hitting a home run.
For the second at-bat, there are also 3 possible outcomes: out, getting on base, or hitting a home run.
Since the at-bats are independent events, meaning the outcome of the first at-bat does not affect the outcome of the second at-bat, we multiply the number of outcomes for each at-bat to find the total number of possible outcomes.
3 x 3 = 9
Therefore, the number of possible outcomes in the sample space is 9.
C) 9
To determine the number of possible outcomes in the sample space, we need to consider the different outcomes for each at-bat.
For the first at-bat, there are three possible outcomes: an out, getting on base, or hitting a home run.
For the second at-bat, there are also three possible outcomes: an out, getting on base, or hitting a home run.
Since each at-bat can have three possible outcomes, and the player bats twice, we can find the total number of possible outcomes by multiplying the number of outcomes for each at-bat. Thus, the number of possible outcomes in the sample space is 3 (outcomes for the first at-bat) * 3 (outcomes for the second at-bat) = 9.
Therefore, the answer is C) 9.