###### Question 21 (Textile Engineering & Fibre Science)

Probability of occurrence of two events E_{1} and E_{2} is 0.25 and 0.5 respectively. The probability of their simultaneous occurrence is 0.14. The probability that neither E_{1} nor E_{2} occurs is

(A) | 0.11 |

(B) | 0.25 |

(C) | 0.39 |

(D) | 0.86 |

**[Show Answer]**

Given-

P(E1)=0.25

P(E2)=0.5

P(E1E2)=0.14

=1-P(E2)

=1-(0.25+0.5-0.14)

=0.39

The probability that neither E1 nor E2 occurs is 0.39 (Ans)

Option C is correct.