An experiment consists of flipping a fair coin and rolling a fair die. how many possible outcomes have a head and an even number?me! u

-- The probability of HEADS on a fair coin is  1/2 .

-- The probability of an even number (2, 4, or 6) on a die is  3/6 = also 1/2 .

-- The probability of both outcomes in the same toss is

                                   (1/2 x 1/2) = 1/4  =  25% .

-- There are 3 possible successful outcomes.
They are:

H - 2
H - 4
H - 6

-- There are 9 other outcomes that are not successful:

H - 1
H - 3
H - 5

T - 1
T - 2
T - 3
T - 4
T - 5
T - 6

The answer is (a) 12-2(-1)(6)2(6)=12