You toss a pair of dice. a.) determine the number of possible pairs of outcomes.

Question

You toss a pair of dice.
a.) determine the number of possible pairs of outcomes.(recall that there are six possible outcomes for each die.)
b.) there are three even numbers on each die. how manyoutcomes are possible wth even numbers appearing on each die?
c.) probability extension: what is the probability that bothdice will show an even number?
a.) determine the number of possible pairs of outcomes.(recall that there are six possible outcomes for each die.)
b.) there are three even numbers on each die. how manyoutcomes are possible wth even numbers appearing on each die?
c.) probability extension: what is the probability that bothdice will show an even number?

Explanation / Answer

b) You could have any of these: {(2, 2), (2, 4), (2, 6), (4,2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)} That's 9possible outcomes where both dice have even numbers (an easier wayto calculate this is 3*3 = 9 since there are 3 possibilities oneach die). c) The probability is, then, 9/36 = 1/4

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