Q38 of 43 Page 296

Fill in the blanks

If e1, e2, e3, e4 are the four elementary outcomes in a sample space and P(e1) =.1, P(e2) = .5, P (e3) = .1, then the probability of e4 is ______.

Given: P(e1) = 0.1, P(e2) = 0.5, P(e3) = 0.1

We know that,


Sum of all probabilities = 1


∴ P(e1) + P(e2) + P(e3) + P(e4) = 1


⇒ 0.1 + 0.5 + 0.1 + P(e4) = 1


⇒ P(e4) = 1 – 0.7


⇒ P(e4) = 0.3


Ans. If e1, e2, e3, e4 are the four elementary outcomes in a sample space and P(e1) =.1, P(e2) = .5, P (e3) = .1, then the probability of e4 is 0.3


More from this chapter

All 43 →
36

State whether the statements are True or False

The sum of probabilities of two students getting distinction in their final examinations is 1.2.

 37

Fill in the blanks

The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will lose the game is _____.

 39

Fill in the blanks

Let S = {1, 2, 3, 4, 5, 6} and E = {1, 3, 5}, then is _________.

 40

Fill in the blanks

If A and B are two events associated with a random experiment such that P (A) = 0.3, P (B) = 0.2 and P (A ∩ B) = 0.1, then the value of P (A ∩ B) is _______.