Question

A number card is drawn randomly from a group of number cards numbered from 1 to 30. Find the probability of getting a card exactly divisible by 5 or 7.

A. 1/6

B. 1/3

C. 1/5

D. 2/15

Answer 1

To find the probability of getting a card exactly divisible by 5 or 7, we need to determine how many cards in the group of number cards are divisible by 5 or 7, and then divide that number by the total number of cards. The probability is 1/3.

Step-by-step explanation:

To find the probability of getting a card exactly divisible by 5 or 7, we need to determine how many cards in the group of number cards are divisible by 5 or 7, and then divide that number by the total number of cards.

First, we need to identify the numbers that are divisible by 5 or 7. The numbers that are divisible by 5 are 5, 10, 15, 20, 25, and 30. The numbers that are divisible by 7 are 7, 14, 21, and 28.

So, there are 10 cards that are divisible by 5 or 7. There are a total of 30 number cards. Therefore, the probability of getting a card exactly divisible by 5 or 7 is 10/30, which simplifies to 1/3.