Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Probability

Short Answer Type

851. An urn contains 6 red and 4 blue balls. Two balls are drawn at random with replacement. Find the probability of getting 2 red balls.

95 Views

852. An urn contains 6 red and 4 blue balls. Two balls are drawn at random with replacement. Find the probability of getting 2 blue balls.

92 Views

853. An urn contains 6 red and 4 blue balls. Two balls are drawn at random with replacement. Find the probability of getting one red and one blue ball.

87 Views

854. Three groups of children contain respectively 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 2 boys. One child is selected at random from each group. Show that the probability that the three selected consist of 1 girl and 2 boys is

3 over 8.

419 Views

855. A bag contains 5 white and 3 black balls. Four balls are drawn one at a time without replacement. Find the probability that the ball are alternatively of different colours.

Number of white balls = 5
Number of black balls = 3
∴ total number of balls = 5 + 3 = 8
P (balls are of alternatively of different colours)
$space equals straight P left parenthesis apostrophe WBWB apostrophe space space or space space space apostrophe BWBW apostrophe right parenthesis space space equals space straight P thin space left parenthesis WBWB right parenthesis space plus space straight P left parenthesis BWBW right parenthesis space equals 3 over 8 cross times 5 over 7 cross times 2 over 6 cross times 4 over 5 plus 3 over 8 cross times 5 over 7 cross times 2 over 6 cross times 4 over 5 space equals 1 over 14 plus 1 over 14 space equals space 1 over 7$

98 Views

856. A bag contains 3 red and 5 black balls and second bag contains 6 red and 4 black balls. A ball is drawn from each bag. Find the probability that one is red and other is black.

89 Views

857. A bag contains 4 white and 2 black balls, and another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that one is white and the other black.

82 Views

858. A bag has 4 red and 5 black balls, a second bag has 3 red and 7 black balls. One ball is drawn from the first and two from the second. Find the probability that out of three balls two are red and one is black.

140 Views

859.

Fatima and John appear in an interview for two vacancies in the same post. The probability of Fatima's selection is $1 over 7 space and space$ that of John's selection is $1 fifth.$ what is the probability that both of them will be selected?

105 Views

860.

Fatima and John appear in an interview for two vacancies in the same post. The probability of Fatima's selection is $1 over 7 space and space$ that of John's selection is $1 fifth.$ What is the probability that only one of them is selected?

82 Views