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# In the town of Z, the town lion roars on some days and not on others. If a day is chosen at random from last March, what is the probability that on that day, either the town lion roared or it rained?

Difficulty: 600-700 Level, Data Sufficiency (DS)

Monday 25 July 2022, by

In the town of Z, the town lion roars on some days and not on others. If a day is chosen at random from last March, what is the probability that on that day, either the town lion roared or it rained?

(1) last March, the lion never roared on a rainy day.

(2) Last March, the lion roared on 10 fewer days than it rained.

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EXPLANATION:

We have a total of 30 days in march. To calculate the probability of "either roaring or raining" we need to have the number of days the lion roared and the number of days of rain.

Statement 1: Insufficient (see above). No information about number of days.

Statement 2: Insufficient (see above). No information about number of days it rained.

Statement 1+2: Still not sufficient. I am looking to fill this formula: days roaring / 30 + days raining / 30.

Answer E