Question

There are twenty cards labeled from 1 to 20 in a bag. A card is randomly selected from the bag. What is the probability of getting a multiple of 5 or a multiple of 7?

a. 115
b. 150
c. 14
d. 310

Answer 1

To find the probability of getting a multiple of 5 or a multiple of 7 from the bag, we need to find the number of cards that are multiples of 5 or 7 and divide it by the total number of cards in the bag. There are 4 multiples of 5 and 2 multiples of 7 in the bag. However, one card is a multiple of both 5 and 7, so we count it only once. Therefore, the probability is 1/4 or 0.25.

Step-by-step explanation:

To find the probability of getting a multiple of 5 or a multiple of 7 from the bag, we need to find the number of cards that are multiples of 5 or 7 and divide it by the total number of cards in the bag.

There are 4 multiples of 5 (5, 10, 15, 20) and 2 multiples of 7 (7, 14) in the bag.

However, the card labeled 14 is a multiple of both 5 and 7, so we need to count it only once.

Therefore, there are a total of 5 cards that are multiples of 5 or 7.

The probability of selecting a card that is a multiple of 5 or 7 is then 5/20, which simplifies to 1/4 or 0.25.