Question

A pair of dice is thrown once. What's the probability that 5 will not come on either of them

Answer 1

83.33%

Explanation:

So we know that one die has 6 faces, meaning 2 dice will have 12 faces. a five face is therefore present twice in the 12 faces, meaning:

10 faces (the faces NOT including the 2 five faces) / 12 faces (the total amount of faces) = 0.8333*

0.8333* x 100 (to get a percentage) = 83.33%

Therefore, 83.33% is the percentage a five face WILL NOT come on EITHER of them.

We can also find the probability of the 5 faces:

2 faces (the five faces) / 12 faces (the total amount of faces) = 0.1666*

0.1666* x 100 (to get a percentage) = 16.66%

Therefore, 16.66% is the percentage a five face WILL come.

Hope this helps.

Answer 2

The probability that a 5 will not come up on either die when a pair of dice is thrown once is 25/36, or approximately 0.6944 (rounded to four decimal places).

Explanation:

To calculate the probability that a 5 will not come up on either die, we first need to find the probability that a 5 will not come up on a single die, and then multiply that probability for both dice.

A standard die has 6 sides, numbered 1 through 6. The probability that a 5 will not come up on a single die is the number of favorable outcomes (not rolling a 5) divided by the total number of outcomes (rolling any number between 1 and 6).

For a single die, there are 5 favorable outcomes (rolling a 1, 2, 3, 4, or 6) and 6 total outcomes. Therefore, the probability that a 5 will not come up on one die is:

P(not rolling a 5 on one die) = 5/6

Now we need to find the probability that a 5 will not come up on both dice. Since the dice rolls are independent events, we can multiply their probabilities together:

P(not rolling a 5 on both dice) = P(not rolling a 5 on die 1) * P(not rolling a 5 on die 2)

P(not rolling a 5 on both dice) = (5/6) * (5/6)

P(not rolling a 5 on both dice) = 25/36

So the probability that a 5 will not come up on either die when a pair of dice is thrown once is 25/36, or approximately 0.6944 (rounded to four decimal places).