Two dice are rolled. Find the probability of getting a 5 on one die or on both dice.
A)11/36
B)1/3
C)1/6
D)7/18

Question

Quizplus · Accepted Answer

To find the probability of getting a 5 on one die or on both dice, we need to add the probability of getting a 5 on one die to the probability of getting a 5 on both dice.

The probability of getting a 5 on one die is 1/6, since there is only one way to get a 5 out of the six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of getting a 5 on both dice is (1/6) x (1/6) = 1/36, since the probability of getting a 5 on the first die is 1/6 and the probability of getting a 5 on the second die is also 1/6, and we multiply these probabilities together to get the probability of both events happening.

Therefore, the total probability is 1/6 + 1/36 = 11/36. So, the best choice is A. To find the probability of getting a 5 on one die or on both dice, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where A and B are two different events.

In this case, let A be the event of getting a 5 on the first die, and let B be the event of getting a 5 on the second die.

The probability of getting a 5 on one die is P(A) = 1/6, since there is only one way to get a 5 out of six possible outcomes.

Similarly, the probability of getting a 5 on the second die is also P(B) = 1/6.

To find the probability of getting a 5 on both dice, we need to multiply the probabilities of getting a 5 on each die:

P(A and B) = P(A) * P(B) = (1/6) * (1/6) = 1/36.

Therefore, the probability of getting a 5 on one die or on both dice is:

P(A or B) = P(A) + P(B) - P(A and B) 
= (1/6) + (1/6) - (1/36) 
= 11/36.

So the best choice is A.

Two Dice Are Rolled