Weegy: 15
User: What is the probability that if you draw 2 socks at random from your drawer the first will be white and the second will be black? Your drawer contains 2 pair of black socks, 3 pair of red socks, 4 pair of white socks and 1 pair of gray socks
(More) 3
Count total socks
- Black: 2 pairs = 4 socks
- Red: 3 pairs = 6 socks
- White: 4 pairs = 8 socks
- Gray: 1 pair = 2 socks
Total = 4 + 6 + 8 + 2 = 20 socks
Probability (first sock white)
Number of white socks = 8
P(first white) = 8/20 = 2/5
Probability (second sock black, given first was white)
After taking 1 white sock, remaining socks = 19
Number of black socks still = 4
P(second black | first white) = 4/19
Multiply probabilities
P(first white AND second black) = (8/20) × (4/19)
= 32/380
= 16/190
= 8/95
The probability is 8/95 (= 0.0842 or 8.4%).
Added 76 days ago|9/24/2025 9:50:13 AM
This answer has been confirmed as correct and helpful.