Question

In an attempt to land an unmanned rocket on the moon, the probability of a successful landing is 0.4 and the probability of monitoring system giving the correct information of landing is 0.9 in either case. The probability of a successful landing, it being known that the monitoring system indicated it correctly

(a) 2/5

(b) 4/25

(c) 9/10

(d) 6/7

Answer 1

Correct option (d)

Explanation:

Let A denote the event of a successful landing of the rocket, B1 denote the event of the monitoring system indicating it correctly and B2 denote the event of its indicating unsuccessful landing.