What is the probability of either a or b occurring


Asked by admin @ in Mathematics viewed by 276 People


Event A has a 0.3 probability of occurring and event B has a 0.4 probability of occurring. A and B are independent events. What is the probability that neither A or B occurs?

A. 0.42
B. 0.12
C. 0.10
D. 0.70

Answered by admin @



Answer:

The correct answer is A.  0.42

Step-by-step explanation:

Probability that neither A nor B occurs  

= P(\bar{A})\cdot P(\bar{B})\\= (1 - 0.3)\cdot (1 - 0.4)\\= 0.7 \cdot 0.6\\ = 0.42

Hence, the required probability is 0.42 and the correct option is A


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