Question

Find the probability of randomly rolling 2 standard dice and having a sum that is EVEN or GREATER THAN 9.

Answer 1

Answer:

Hence, the probability of randomly rolling 2 standard dice and having a sum that is EVEN or GREATER THAN 9 is 2/3

Step-by-step explanation:

Let A be the event that the sum of two dice is even

Then P(A) will be the probability of having even sum

As the sample space is already given in the image

n(S) = 36

A = {(1,1) , (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)}

n(A) = 18

So,

P(A) = n(A)/n(S)

= 18/36

= 1/2

Let B be the event that the sum is greater than 9

B = {(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)}

n(B) = 6

P(B) = n(B)/n(S)

= 6/36

= 1/6

Now we have to find P(A∪B) i.e. P(A or B)

P(A∪B) = P(A) + P(B)

= 1/2 + 1/6

= (3+1)/6

=4/6

=2/3

Hence, the probability of randomly rolling 2 standard dice and having a sum that is EVEN or GREATER THAN 9 is 2/3 ..

Answer 2

Answer:

The correct answer was 5/9

Step-by-step explanation: