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Class XI Maths Probability Quiz 4 (App update required to attempt this test)

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Question 1

If the standard deviation of the binomial distribution for 16 trials is 2, then its mean is given by ______

Question 2

One hundred identical coins, each with probability p, of showing up heads are tossed once. If 0<p<1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is _____

Question 3

Two decks of playing cards are well shuffled and 26 cards are randomly
distributed to a player. Then the probability that the player gets all distinct cards is

Question 4

12 cards, numbered 1 to 12 are placed in a box, mixed so thoroughly and then a card is drawn at random from the box. If it is known that the number on the drawn card is more than 4, the probability that it is a prime number is ____

Question 5

Let n1 and n2 be the number of red and black balls, respectively in box-1. let n3 and n4 be the number of red and black balls, respectively, in box-2. One of the two boxes, box-1 and box-2 was selected at random out of this box. The ball was found to be red If the probability that this red ball was drawn from box-2 is

, then the correct option with the possible of n1, n2, n3, n4 is____

Question 6

An urn contains 3 red balls and 4 blue balls.3 balls are selected from the urn one after the other without replacement.The variance of selecting a red ball from the urn is

Question 7

A traffic office imposes on an average 5 number of penalties daily on traffic violators. Assume that the number of penalti3s on different days is independent and follows a Poisson distribution. The probability that there will be less than 4 penalties in a day is ________

Question 8

The number of positive integral solutions of abc=30 is

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Jul 13JEE & BITSAT