Question

A litter of 9 kittens available for adoption at the Humane Society has four orange kittens and five black kittens. A family comes in and randomly selects two kittens for adoption. What is the probability that one kitten of each color is selected? A. 0.2469 B. 0.5556 C. 0.5247 D. 0.4444 E. 0.2778

Answer 1

Answer:

B

Step-by-step explanation:

What is required is the probability of selecting one orange and one black kitten.

outcomes ( 1 O and 1B) = 4C1 * 5C1

Total outcomes = 9C2

Note: the order of color does not matter it is simply a matter of selection hence only combinations are made NOT permutations.

P (1O and 1B) = outcomes ( 1 O and 1B) / Total outcomes

P (1O and 1B) = (4C1 * 5C4) / 9C2 = 0.5556