Hard ACT Math Probability Problem

Today I would like to give a hard ACT math probability problem. I will provide a full explanation for this problem tomorrow. In the meantime, feel free to leave your own solutions in the comments.

Level 5 Probability

Suppose that x will be randomly selected from the set

{–3/2, –1, –1/2, 0, 5/2}

and that y will be randomly selected from the set

{–3/4, –1/4, 2, 11/4}.

What is the probability that x/y < 0 ?

A. 1/100
B. 1/20
C. 3/20
D. 1/3
E. 2/5

More ACT Math Problems with Explanations

If you are preparing for the ACT, you may want to take a look at the following book.

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