Two Dice Are Rolled Together. What Is The Probability Of Getting Two

1.	Two Dice Are Rolled Together. What Is The Probability Of Getting Two Numbers Whose Product Is Even?
Answer» Total number of outcomes possible when a die is ROLLED = 6 (∵ any one face out of the 6 faces) Hence, Total number of outcomes possible when two dice are rolled, n(S) = 6 × 6 = 36 Let E = the event of getting two numbers WHOSE product is even = {(1,2), (1,4), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,2), (3,4), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,2),(5,4), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)} Hence, n(E) = 27 P(E) = n(E)/n(S)=27/36=3/4. Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces) Hence, Total number of outcomes possible when two dice are rolled, n(S) = 6 × 6 = 36 Let E = the event of getting two numbers whose product is even = {(1,2), (1,4), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,2), (3,4), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,2),(5,4), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)} Hence, n(E) = 27 P(E) = n(E)/n(S)=27/36=3/4.

Two Dice Are Rolled Together. What Is The Probability Of Getting Two Numbers Whose Product Is Even?

Answer»

Total number of outcomes possible when a die is ROLLED = 6 (∵ any one face out of the 6 faces)

Hence, Total number of outcomes possible when two dice are rolled, n(S) = 6 × 6 = 36

Let E = the event of getting two numbers WHOSE product is even

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

(3,2), (3,4), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,2),(5,4), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

Hence, n(E) = 27

P(E) = n(E)/n(S)=27/36=3/4.