Q13 of 249 Page 31

Two dice are thrown. Find the probability that the numbers appeared has the sum 8, if it is known that the second die always exhibits 4.

We know total possible outcomes when two dice are thrown = 36


A= sum is 8


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


P(A) =


B =second die exhibit 4


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


P(B) =


(A ∩ B) = sum of two number is 8 and also second die exhibit 4


=(4, 4) =1


P(A ∩ B) =


Therefore, = (answer)


More from this chapter

All 249 →
11

Mother, father and son line up at random for a family picture. If A and B are two events given by A=son on one end, B= Father in the middle, find P (A/B) and P (B/A).

 12

A dice is thrown twice, and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?

 14

A pair of dice is thrown. Find the probability of getting 7 as the sum, if it is known that the second die always exhibits an odd number.

 15

A pair of dice is thrown. Find the probability of getting 7 as the sum if it is known that the second die always exhibits a prime number.