Question

A red die is tossed and then a green die is tossed. What is the probability that the red die shows a six or the green shows a six? Hint: The two events are not mutually exclusive. So to the find probability of the union, Use: P(A or B)= P(A) + P(B) - P(A and B)

Answer 1

The probability of the red die or the green die showing a six is 11/36.

Step-by-step explanation:

To find the probability that either the red die shows a six or the green die shows a six, we can use the formula P(A or B) = P(A) + P(B) - P(A and B),

where P(A) is the probability of the red die showing a six, P(B) is the probability of the green die showing a six, and P(A and B) is the probability of both dice showing a six.

The probability of the red die showing a six is 1/6, since there is one six on a standard six-sided die. Similarly, the probability of the green die showing a six is 1/6.

To find the probability of both dice showing a six, we multiply the individual probabilities: P(A and B) = (1/6) * (1/6) = 1/36.

Now we can substitute the values into the formula: P(A or B) = (1/6) + (1/6) - (1/36) = 11/36.

Therefore, the probability that either the red die shows a six or the green die shows a six is 11/36.

Answer 2

2/12 or 1/6

Step-by-step explanation: