Instead of using the values {1,2,3,4,5,6} on a dice, suppose a pair of dice have the following {1,2,2,3,3,4} on one die and {1,3

Question

vichka [17]

3 years ago

15

Instead of using the values {1,2,3,4,5,6} on a dice, suppose a pair of dice have the following {1,2,2,3,3,4} on one die and {1,3

,4,5,6,8} on the other. find the probabaility of rolling a sum of 12 with these dice.

Mathematics

2 answers:

levacccp [35] · Answer 1 · 2022-06-04T00:03:30+03:00

Answer: The answer is $\dfrac{1}{24}.$

Step-by-step explanation: Given that instead of using the values {1,2,3,4,5,6} on a dice, suppose a pair of dice have the numbers {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. We are to find the probability of getting a sum of 12 by rolling these dice.

Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24.

Now, number of chances where we get the rolling sum as 12 is only one, i.e., (4,8).

Therefore, the probability of getting sum 12 is

$p=\dfrac{1}{24}.$