Question

Two 6-sided dice are rolled. Find the probability that exactly 1 die shows a 5.
Thank You!

Answer 1

What is the odd that one dice is a five when one die is rolled?

Answer 2

I think its what is the odd that only one dice is a five when two are rolled

Answer 3

I know but if you know the odds of one die there is a trick to find with 2

Answer 4

2/12 or 1/6 probability?

Answer 5

One die is 1/6. You have 2 dice so you have twice the odds. Twice the odds are 2/6 or 1/3. So the odds of one 5 in 2 dice is 1/3.

Answer 6

Wouldn't twice the odds be 2/12?

Answer 7

No, 1/6 and 2/12 are the same/equivalent. To double you keep the same denominator and double the numerator.

Answer 8

You could label the dice A and B , and make a table showing all possible rolls of the two dice. then find how many of those rolls has exactly one 5.

Answer 9

Thanks for the tip @Phil1111

Answer 10

then divide by the number of possible rolls (which will be 36)

Answer 11

No problem saoline. Phi great answer.

Answer 12

odds of getting a 5 with one die is 1/6
but that could show on either of the die

so we add the odds

required probability = 1/6 + 1/6 = 1/3

Answer 13

when its a matter of OR with probabilities you add the probabilities

here it is a 5 on die A OR a 5 on die B

= 1/6 + 1/6

Answer 14

Oh okay. Thanks so much!

Answer 15

yw

when you see an AND - its multiply probabilities

eg throw 1 die to get 5 P = 1/6
throw secodnd die to get 5 P = 1/6

P( 5 AND another 5) = 1/6 * 1/6 = 1/36

Answer 16

Thank you!

Answer 17

Find the probability that exactly 1 die shows a 5.

Here is the table


there are 10 events where exactly one five shows.
there are 36 equally likely possibilities
\[ \frac{10}{36}= \frac{5}{18} \]