A bag contains 4 tan socks and 7 grey socks. Emily reaches into the bag and randomly selects two socks without replacement. What is the probability that Emily will get different-colored socks? Answer options with 5 options A. StartFraction 4 over 11 EndFraction B. StartFraction 27 over 55 EndFraction C. StartFraction 1 over 2 EndFraction D. StartFraction 28 over 55 EndFraction E. StartFraction 7 over 11 EndFraction
Question
A bag contains 4 tan socks and 7 grey socks. Emily reaches into the bag and randomly selects two socks without replacement.
What is the probability that Emily will get different-colored socks?
Answer options with 5 options A. StartFraction 4 over 11 EndFraction
B. StartFraction 27 over 55 EndFraction
C. StartFraction 1 over 2 EndFraction
D. StartFraction 28 over 55 EndFraction
E. StartFraction 7 over 11 EndFraction
Solution
To solve this problem, we need to calculate the probability of drawing one tan sock and one grey sock. This can happen in two ways: either Emily draws a tan sock first and then a grey sock, or she draws a grey sock first and then a tan sock.
-
The probability of drawing a tan sock first and then a grey sock is (4/11) * (7/10) = 28/110 = 14/55.
-
The probability of drawing a grey sock first and then a tan sock is (7/11) * (4/10) = 28/110 = 14/55.
Since these are mutually exclusive events, we can add these probabilities together to get the total probability of drawing different-colored socks.
So, the total probability is 14/55 + 14/55 = 28/55.
Therefore, the correct answer is D. StartFraction 28 over 55 EndFraction.
Similar Questions
A drawer contains 4 black socks, 3 white socks, and 2 red socks. One sock is drawn from the drawer and kept. Then a second sock is drawn from the drawer. What is the probability that both socks are white? Answer options with 5 options A. StartFraction 1 over 6 EndFraction B. StartFraction 1 over 8 EndFraction C. StartFraction 1 over 9 EndFraction D. StartFraction 1 over 12 EndFraction E. StartFraction 2 over 27 EndFraction
A bag consist of 4 red, 5 blue and 6 green coloured socks. If 3 socks are selected, what is the probability that exact one of them is blue?Question 1Answera.15/23b.45/91c.5/9d.13/56
A box contains 9 socks, of which 4 are red and 5 are blue. We draw two socks from the box.What is the probability that they are of the same colour?
A drawer of socks contains three black socks, four blue socks, and three grey socks. Two socks are chosen at random without replacement. Based on the given information, answer the following questions (12 and 13). What is the probability that a black pair is chosen ? Enter the answer correct to two decimal places.
In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?0 A. 4/11B. 1C. 2/33D. 19/66
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.