SAT II Math I : Probability

Study concepts, example questions & explanations for SAT II Math I

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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?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

Explanation:

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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