Question

Ramya has 18 pairs of red socks and 18 pairs of blue socks. She keeps them all in the same drawer. If she picks out three socks at random what is the probability that she will get a matching pair?

Answer 1

Answer:

50% of red or blue socks.

Answer 2

The probability that she will get a matching pair is 0.76.

Given:

Number of pair of red socks = 18

Number of pair of blue socks = 18

Number of socks picked out = 3

To Find:

The probability that she will get a matching pair

Step-by-step explanation:

Now according to the question she will select 3 socks( not pair)

So using the probability formula we get

C = $\frac{^{36}C_{2} . ^{36}C_{1} } ^{72}C_{3}$ + $\frac{^{36}C_{1} . ^{36}C_{2} } ^{72}C_{3}$

  = $\frac{360 X 36}{59640}$ + $\frac{36 X 360}{59640}$

  = $\frac{45360}{59640}$

  = 0.76