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

Adam Lyons, Magoosh Tutor

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!

Nov 2, 2019 • Reply

9

Chris Lele, Magoosh Tutor

Sep 26, 2012 • Comment