Home
Class 12
MATHS
Box 1 contains three cards bearing numbe...

Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains five cards bearing numbers 1, 2, 3,4, 5; and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let `x_i` be the number on the card drawn from the ith box, i = 1, 2, 3. The probability that `x_1+x_2+x_3` is odd is

A

`(29)/(105)`

B

`(53)/(105)`

C

`(57)/(105)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains five cards bearing numbers 1, 2, 3,4, 5; and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let x_i be the number on the card drawn from the ith box, i = 1, 2, 3. The probability that x_1, x_2, x_3 are in an aritmetic progression is

A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart of a red card.

Cards marked with numbers 13, 14, 15.....60 are placed in a box and mixed thoroughly. One card is drawn at random from the box Find the probability that the sum of the digits of the number on the card is 5.

A box contains tickets numbered 1 to 20.3 tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7, is

There are 5 cards numbered 1 to 5 on it. Two cards are drawn at random without replacement. Let X denotes the sum of the numbers on two cards drawn. Find mean and variance.

A card is lost from a pack of 52 playing cards. From remainder of the pack of a card is drawn and is found to be a spade. The probability that the misssing card is spade, is

Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that x^2+bx+cgt0 for all x in R, is

Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?

A box B_1 contains 1 white ball, 3 red balls and 2 black balls. Another box B_2 contains 2 white balls, 3 red balls and 4 black balls. A third box B_3 contains 3 white balls, 4 red balls and 5 black balls. If 1 ball is drawn from each of the boxes B_1 , B_2 and B_3 , then the probability that all 3 drawn balls are of the same colour , is