Question

A drawer holds 6 white socks, 8 black socks, and 4 blue socks. If a sock is pulled from the drawer randomly, what is the probability that it will not be a blue sock?

A. 2 over 9
B. 1 over 7
C. 5 over 7
D. 7 over 9

Answer 1

Answer: the correct option is (D) 7 over 9.

Step-by-step explanation: Given that a drawer holds 6 white socks, 8 black socks, and 4 blue socks.

We are to find the probability that a randomly pulled sock from the drawer is not blue.

Let S denote the sample space of pulling a sock from the drawer and A denote the event that the pulled sock is not blue.

Then,

n(S) = 6 + 8 + 4 = 18 and n(A) = 6 + 8 = 14.

Therefore, the probability of event A is given by

`P(A)=(n(A))/(n(S))=(14)/(18)=(7)/(9).`

Thus, the required probability is 7 over 9.

Option (D) is CORRECT.

Answer 2

There are a total of 18 socks from the drawer. Out of this number, there are 14 that are not blue. The probability of not picking a blue sock is the quotient when 14 non-blue socks is divided by 18 total number of socks. Therefore, the answer is 14/18 which is equal to 7/9. Thus, the answer is letter D.