A spinner is divided into 10 equal sections numbered from 0 to 10. You spin the spinner once. What is P(divisible by 3)?

1/3 1/2 2/5 3/10

The probability of a certain baseball player hitting a foul ball is 1/4. How many foul balls would you expect her to hit after 80 swings?

4 20 40 60

I know the second one is 20

For the first,

the following are divisible by 3:
3 6 9

so what do you think?

3/10 ?

correct

To find the probability of an event, you need to determine the total number of possible outcomes and the number of favorable outcomes.

For the first question, the spinner is divided into 10 equal sections, numbered from 0 to 10. To find the probability of spinning a number divisible by 3, you need to determine the favorable outcomes and the total number of possible outcomes. The numbers divisible by 3 in this case are 0, 3, 6, and 9. So, there are 4 favorable outcomes. Since there are 10 equally likely outcomes in total (from 0 to 10), the probability of spinning a number divisible by 3 is 4/10, which simplifies to 2/5.

Therefore, the correct answer is 2/5.

For the second question, you are given that the probability of hitting a foul ball is 1/4. To find the expected number of foul balls after 80 swings, you can multiply the probability of hitting a foul ball by the total number of swings.

Probability of hitting a foul ball = 1/4
Total number of swings = 80

Expected number of foul balls = Probability of hitting a foul ball * Total number of swings

Expected number of foul balls = (1/4) * 80
Expected number of foul balls = 20

Therefore, you would expect the baseball player to hit 20 foul balls after 80 swings.