R. Gupta Solutions for Chapter: Probability, Exercise 1: EXERCISE

$A$ speaks truth $60\%$ Times and $B$ speaks truth $70\%$ times. The probability that they say same thing while describing a, single event is

$A$ bag contain $10$ mangoes out of which $4$ are rotten, two mangoes are taken out together. If one of them is found to be good, the probability that other is also good is

Five different objects $1, 2, 3, 4, 5$ are distributed randomly in $5$ places marked $1, 2, 3, 4, 5$. One arrangement is picket at random. The probability that in the selected arrangement, none of the object occupies the place corresponding to its number is?

An unbiased dice with faces $1, 2, 3, 4, 5$ and $6$ is round four times. Out of four face values obtained, the probability that the minimum face value is not less than $2$ and the maximum face value is not greater than five, is ?

An unbiased die is tossed until a number greater then $4$ appears. The probability that an even number of tosses is needed is?

Two cards are drawn successively with replacement from a well shuffled deck of $52$ cards. The probability of drawing two aces is:

The probability that in the toss of two dices we obtain the sum $7$ or $11$ is?

A biased dice is tossed and the respective probabilities for various faces to tum up are

If an even face has turned up, then the probability that it face $2$ or face $4$ is?