MEDIUM
NDA & NA EE
IMPORTANT
Earn 100

If A and B are two events such that P(A)=0.6, P(B)=0.5 and P(AB)=0.4, then consider the following statements

1. P(A¯B)=0.9

2. P(B¯/A¯)=0.6

Which of the above statements is/are correct?

50% studentsanswered this correctly

Important Questions on Probability

EASY
NDA & NA EE
IMPORTANT
Three cooks X, Y and Z bake a special kind of cake and with respective probabilities 0.02, 0.03 and 0.05, it fails to rise. In the restaurant where they work, X bakes 50%, Y bakes 30% and Z bakes 20% of cakes. What is the proportion of failures caused by X?
MEDIUM
NDA & NA EE
IMPORTANT
A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails?
EASY
NDA & NA EE
IMPORTANT
A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective?
EASY
NDA & NA EE
IMPORTANT
If a coin is tossed till the first head appears, then what will be the sample space?
EASY
NDA & NA EE
IMPORTANT
Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?
EASY
NDA & NA EE
IMPORTANT
If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards?
MEDIUM
NDA & NA EE
IMPORTANT
There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin? $?$
MEDIUM
NDA & NA EE
IMPORTANT

Consider the following statements:

1. If A and B are mutually exclusive events, then it is possible that PA=PB=0.6

2. If A and B are any two events such that PAB=1, then PB¯A¯=1

Which of the above statement is/are correct?