NDA || Mathematics || Algebra || Probability || Quiz

In a binomial distribution, the mean is  and the variance is  What is the probability that ?

Let a die be loaded in such a way that even faces are twice likely to occur as the odd faces. What is the probability that a prime number will show up when the die is tossed?

Let the sample space consist of non-negative integers up to 50, X denote the numbers which are multiples of 3 and y denote the odd numbers. Which of the following is/are correct?

1)

2)

Select the correct answer using the code given below.

What is the probability that at least two persons out of a group of three persons were born in the same month (disregard year)?

A fair coin is tossed four times. What is the probability that at most three tails occur?

A special dice with numbers 1, -1, 2, -2, 0 and 3 is thrown thrice. What is the probability that the sum of the numbers occurring on the upper face is zero?