Question

A spinner is divided into seven equal sections numbered 1 through 7 If the spinner is spun twice, what is the THEORETICAL probability that it lands on 2 and then an odd number?

A) 1/49
B) 4/49
C) 1/7
D) 4/7

Answer 1

Answer: A) 1/49

Explanation:

Since the spinner has seven equal sections numbered 1 through 7, the theoretical probability of landing on any particular number on a single spin is 1/7.

To find the theoretical probability that the spinner lands on 2 and then an odd number, we can multiply the probability of landing on 2 on the first spin by the probability of landing on an odd number on the second spin.

The probability of landing on 2 on the first spin is 1/7, and the probability of landing on an odd number on the second spin is 3/7 (there are three odd numbers among the remaining six sections).

Therefore, the theoretical probability of the spinner landing on 2 and then an odd number is:

(1/7) x (3/7) = 3/49

So the answer is A) 1/49.