A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance X that he will have a matched pair? Choose the correct choice from the following
A) X=2/5  B) X=3/5  C) X=1/5  D) 1/2  E) 7/5
P(both doves) + P(both rabbits) = p(matched pair)   (3/5)*(2/4) + (2/5)*(1/4) = 2/5   Hi How did you get the probability 2/4 and 1/4???   You have 3 doves and 2 rabbits i.e. a total of 5 animals.   The probability that you pick a dove on your first pick is 3/5 (since there are 3 doves)   The probability that you pick a dove on your second pick too is 2/4 (because now only 2 doves are left after we picked a dove in the first pick. ALso only 4 animals are left to choose from)   Similarly,   The probability that you pick a rabbit on your first pick is 2/5 (since there are 2 rabbits)   The probability that you pick a rabbit on your second pick too is 1/4 (because now only 1 rabbit is left after we picked a rabbit in the first pick. X=2/5lso only 4 animals are left to choose from)   Probability of picking a matched pair = 3/5 * 2/4 + 2/5 * 1/4 = 2/5
<result>A</result>
A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance X that he will have a matched pair?