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Two coins are tossed once ,where E : tail appears on one coin , F : one coin shows head. Find P(E/F).
An instructor has a question bank consisting of 300 easy True / False questions,200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4.Find P(A ∪ B)
Let X be a random variable assuming values x1, x2,....,xn with probabilities p1, p2, ...,pn, respectively such that . If E is the expectation, mean of X is denoted by μ, variance denoted by σ2, is defined as
A die is thrown 6 times. If ‘getting an odd number’ is a success, what is the probability of at most 5 successes?
Two coins are tossed once ,where E :no tail appears , F : no head appers. Find P(E/F).
Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event ‘the coin shows a tail’, given that ‘at least one die shows a 3’.
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P (AB)
A random variable X taking values 0, 1, 2, ..., n is said to have a binomial distribution with parameters n and p, if its probability distribution is given by
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.
Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (EF) and P(FE)
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P(BA).
State which of the following is a probability distribution of a random variable.
Five cards are drawn successively with replacement from a well – shuffled deck of 52 cards. What is the probability that all the five cards are spades?
If A and B are two events such that P(A) = ¼ , P(B) = ½ and P(A∩B) =1/8 , Find P(not A and not B) .
An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable ?
Five cards are drawn successively with replacement from a well – shuffled deck of 52 cards. What is the probability that only 3 cards are spades?
If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is correct?
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?
Five cards are drawn successively with replacement from a well – shuffled deck of 52 cards. What is the probability that none is a spade?
204 videos288 docs139 tests

Probability Distribution of a Random Variable  Probability, Class 12, Math Video  05:19 min 
NCERT Solutions  Exercise 13.1: Probability Doc  7 pages 
Test: JEE Previous Year Questions Probability Test  44 ques 
Variance of Random Variable  Probability, Class 12, Math Video  06:44 min 
Binomial Distribution  Probability, Class 12, Math Video  10:03 min 
204 videos288 docs139 tests

Probability Distribution of a Random Variable  Probability, Class 12, Math Video  05:19 min 
NCERT Solutions  Exercise 13.1: Probability Doc  7 pages 
Test: JEE Previous Year Questions Probability Test  44 ques 
Variance of Random Variable  Probability, Class 12, Math Video  06:44 min 
Binomial Distribution  Probability, Class 12, Math Video  10:03 min 