Question

In my drawer I have 3 plain green socks,2 green socks with polka dots,4 plain red socks,3 red socks with polka dots,5 white socks and 4 white socks with polka dots; then if I randomly chose one sock what is the probability that

I get a plain green sock?

Answer 1

The probability of randomly choosing a plain green sock from the drawer is 1/7, based on the ratio of plain green socks (3) to the total number of socks (21).

Step-by-step explanation:

The question involves calculating the probability of drawing a specific type of sock from a drawer. To find the probability of getting a plain green sock, we need to determine the total number of socks and the number of plain green socks in the drawer. The total number of socks is the sum of all the different types of socks, and the probability of drawing a plain green sock is the ratio of the number of plain green socks to the total number of socks.

First, let's calculate the total number of socks:

• 3 plain green socks
• 2 green socks with polka dots
• 4 plain red socks
• 3 red socks with polka dots
• 5 white socks
• 4 white socks with polka dots

The total number of socks is 3 + 2 + 4 + 3 + 5 + 4 = 21.

Next, we calculate the probability of drawing a plain green sock:

P(plain green sock) = Number of plain green socks / Total number of socks

P(plain green sock) = 3 / 21

Therefore, the probability of drawing a plain green sock is 3/21, which simplifies to 1/7.