Probability 4 Question 4

4. A signal which can be green or red with probability 45 and 15 respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 34. If the signal received at station B is green, then the probability that the original signal green is

(2010)

(a) 35

(b) 67

(c) 2023

(d) 920

Objective Question II

(One or more than one correct option)

Show Answer

Answer:

Correct Answer: 4. (c)

Solution:

  1. From the tree diagram, it follows that

P(BG)=4680

P(BGG)=1016=58

P(BGG)=58×45=12

P(GBG)=12P(BG)=12×8046=2023



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