An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following events:
Event A: The sum is greater than 6.
Event B: The sum is an even number.
Write your answers as exact fractions.
A box is filled with 3 yellow cards, 4 green cards, and 9 red cards. A card is chosen at random from the box. What is the probability that it is a yellow or a red card?
Write your answer as a fraction in simplest form.
A box contains 3 plain pencils and 9 pens. A second box contains 7 color pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?Write your answer as a fraction in simplest form.
A radio disc jockey has 7 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that the first song is a reggae song and the second is a rock song? Write your answer as a fraction in simplest form.
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