NCERT Exemplar MCQ Quiz

A box contains 3 orange, 3 green, and 2 blue balls. Three balls are drawn without replacement. The probability of drawing 2 green balls and 1 blue ball is

Students \(A\) and \(B\) solve a problem correctly with probabilities \(1/3\) and \(1/4\). The probability of their making a common error is \(1/20\). Given that they obtain the same answer, the probability that their answer is correct is

A die is thrown and a card is selected from a deck of 52 cards. The probability of an even number on the die and a spade card is

Which one is not a requirement of a binomial distribution?

Events \(E\) and \(F\) are independent. If \(P(E)=0.3\) and \(P(E\cup F)=0.5\), then \(P(E\mid F)-P(F\mid E)\) equals

Suppose \(X\) follows a binomial distribution with parameters \(n,p\), where \(0<p<1\). If \(P(X=r)/P(X=n-r)\) is independent of \(n\) and \(r\), then \(p\) equals