# SAT II Math I : Probability

## Example Questions

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### Example Question #11 : Probability

If you draw an ace from and deck then place it back in the deck, what is the probability of drawing another ace?

Explanation:

Since the first card was placed back into the deck, it will have no effect on the second draw.

Since there are  aces in a deck of  cards, the probability would be

or .

### Example Question #12 : Probability

A fair 6 sided die is rolled twice. What is the probability of observing a 6 both times?

Explanation:

The probability of rolling a 6 once is  because 6 is one of 6 different possible outcomes.

The probability of two independent events happening can be multiplied together. The probability of getting 2 6's is:

### Example Question #12 : Probability

If an integer  is randomly selected such that , what is the probability that  is a prime number?