Question

i need a help pleassssse?

5. What is the probability that the sum of the numbers on two dice is even when they are rolled? 6. What is the probability that a card selected at random from a standard deck of 52 cards is an ace or a heart?

Answer 1

Ans 5.

In roll of two dice :

Possible Even Sums:

Sum : 2 when (1 +1)

Sum : 4 when (1+3) , (3+1) , (2+2)

Sum : 6 when (1+5) , (5+1) , (3+3) , (2+4), (4+2)

Sum : 8 when (6+2) , (2+6), (3+3) , (5+3) , (3+5 )  

Sum : 10 when (6+4) , (4+6) , (5+5)

Sum : 12 when (6+6)

Total Prob = 1/36 + 3/36 + 5/36 + 5/36 + 3/36 + 1/36 = 18/36 = 1/2 Probability