Source: Revised GRE PDF 1st Ed. Section 6: Math; #2 (p. 82)

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# The probability that both events E and F

The probability that both events E and F will occur is 0.42. Quantity A : The probability that event E will occur Quantity B : 0.58 Quantity A is greater., Quantity B is greater., The two quantities are equal., The relationship cannot be determined from the information given.

### 2 Explanations

1

Shaurya Kalsi

Why are we assuming that the E and F are independent here?

Oct 26, 2019 • Comment

Hey Shaurya! We aren't actually assuming that they are for sure independent. In order to choose D, all we have to do is show that it is *possible* for Quantity A to be greater than and to be less than Quantity B. And, *if* the events are independent, then the probability of event E can be greater than or less than 0.58. So that's all we need. We don't know if E is independent or not. But it's possible for E to be greater than or less than 0.58. Hence, we don't have enough information to determine which is true.
Hope that helps!

9 Chris Lele, Magoosh Tutor

Sep 26, 2012 • Comment