in sals sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. if he randomly picks one…
in sals sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. if he randomly picks one sock from the drawer, and then another, which fractions should sal multiply to find the probability of choosing a pair of green socks?\n(1/10)(1/9)\n(2/10)(2/10)\n(2/10)(1/9)\n(2/10)(2/9)
Answer
Explanation:
Step1: Calculate first - pick probability
The total number of socks is (2 + 2+2 + 2+2=10). The number of green socks is 2. The probability of picking a green sock on the first pick is (\frac{2}{10}).
Step2: Calculate second - pick probability
After picking one green sock on the first pick, there is 1 green sock left and a total of 9 socks left. So the probability of picking a green sock on the second pick is (\frac{1}{9}).
Step3: Find combined probability
To find the probability of both events (picking a green sock first and then another green sock), we multiply the probabilities of each event. So we multiply (\frac{2}{10}) and (\frac{1}{9}).
Answer:
((\frac{2}{10})(\frac{1}{9})) (the third option)