What’s the probability of drawing a blue, then black sock; what’s the probability of drawing a black sock then blue sock?

Question

Probability of drawing socks from a drawer of 8 black socks, 6 blue & 4 white without replacement .

Answer 1

There are 18 total socks.

Since there are 6 blue socks, the probability of drawing a blue sock first, is 6/18, leaving 17 socks.

There are still 8 black socks, so the probability of drawing a black sock second, is 8/17.

The probability of both events occurring is 6/18 * 8/17.

Since there are 8 black socks, the probability of drawing a black sock first, is 8/18, leaving 17 socks.

There are still 6 blue socks, so the probability of drawing a blue sock second, is 6/17.

The probability of both events occurring is 8/18 * 6/17.