Answer:
0.5041 = 50.41% probability of getting 2 of the same colour
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability of getting 2 of the same colour?
Both blue or both red
Since they are replaced, we have, in each trial:
6 blue from a set of 6 + 5 = 11
5 red from a set of 6 + 5 = 11
Probability of both blue:
Each with 6/11 probability. So
[tex]P = (\frac{6}{11})^2 = \frac{36}{121}[/tex]
Probability of both red:
Each with 5/11 probability. So
[tex]P = (\frac{5}{11})^2 = \frac{25}{121}[/tex]
Total:
[tex]p = \frac{36}{121} + \frac{25}{121} = \frac{61}{121} = 0.5041[/tex]
0.5041 = 50.41% probability of getting 2 of the same colour
