### All SAT II Math I Resources

## Example Questions

### 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?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

Probability is defined as specified outcomes divided by total possible outcomes.

Recall that a prime numbered is defined as a number that is divisible only by one and itself, and is not prime. There are prime numbers in the range of possible values:

Notice that the range of values, includes zero , so there are total numbers to select from.

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