Question

12. A drawer contains 2 red socks, 6 white socks,

and 4 blue socks. Without looking, you draw out a
sock, return it, and draw out a second sock. What
is the probability that the first sock is blue and the
second sock is red?

Answer 1

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Explanation:

Number of red socks = 2

Number of white socks = 6

Number of blue socks = 4

Total socks in drawer = 2+6+4 = 12

The formula used to calculate probability is:
`Probability=(Number \ of \ favourable \ outcomes)/(Total \ number \ of \ outcomes)`

We are given you draw out a sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16