The reviews editor of a certain scientific journal found that the recent reviews 50\% are short, 40\% are medium, and the other 10\% are long. Reviews are submitted in either Word or LaTex format. 70\% of short reviews are in Word; 30\% of medium reviews are in Word; 20\% of long reviews are in Word. For a randomly selected recent review. 1. What is the probability that it is in Word format? 2. If the randomly selected review was submitted in Word format, what is the probability that it is short?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The reviews editor of a certain scientific journal found that the recent reviews 50\% are short, 40\% are medium, and the other 10\% are long. Reviews are submitted in either Word or LaTex format. 70\% of short reviews are in Word; 30\% of medium reviews are in Word; 20\% of long reviews are in Word. For a randomly selected recent review.

1. What is the probability that it is in Word format?

2. If the randomly selected review was submitted in Word format, what is the probability that it is short?

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