The probability that John will pass in all subjects in final Exam is 0

Question

Weekly Quant Quiz Question -1

The probability that John will pass in all subjects in final Exam is 0.69 and the probability that John will be promoted to next class is 0.73. What is the greatest probability that neither of the two events will occur.
a) 0.11
b) 0.27
c) 0.41
d) 0.56
e) 0.62

saukrit · Accepted Answer

p(pass in all subjects)=0.69 is just a subset of P(promoted to next class)=0.73. What this means is that of all the students that get promoted to next class, few(0.69) will pass in all subjects.

Hence those who neither pass in all subjects not get promoted can not be more than 1-0.73 = 0.27, and hence the answer is B

Gladiator59 · Answer

Please find solution attached. IMO B.

vipulshahi · Answer

P(Pass) = 0.69
P(Not Pass ) = 1- 0.69 = 0.31

P(Promoted) = 0.73
P(Not Promoted) = 1-0.73 = 0.27

P(Neither) = 0.31+0.27=0.56

DesyKristine · Answer

B, 0.27

seek the biggest probability for John to occur in the events, then the rest of it it's the probability for John to not occur in the event. Because the opposite from the biggest probability for the events to occur is the probability for the things will not occur

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anangam3 · Answer

Probability is .27

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AdityaHongunti · Answer

Total outcome= A + B+ Both+ none.

We have to maximize the probability and so we have to minimzie other outcomes.
The greatest subset given is .73 which can include .69

hence think of the problem as a big subset which includes a smaller subject. Whatever left is the neither .

SO answer = 1-.73 =.27

honneeey · Answer

X(failUnotpromoted)=x(fail)+x(notpromoted)-x(failINTERSECTION notpormoted)
 =0.31+0.27-0.31*0.27
=0.53
Asnwer=D

AliciaSierra · Answer

The probability that John will pass in all subjects in final Exam is 0.69 and the probability that John will be promoted to next class is 0.73. What is the greatest probability that neither of the two events will occur.

Probability that John will not pass in all final subjects= 1- 0.69= .31
Probability that he will not be promoted to next class is 1-0.73 = .27

Greatest probability that neither of these two event occur is .27

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The probability that John will pass in all subjects in final Exam is 0

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