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

Multiple Choice Questions

101.

Let X and Y represent prices (in Rs.) of a commodity in Kolkata and Mumbai respectively. It is given that $X = 65, Y = 67$

σ_X= 2.5, σ_Y = 3.5 and r(X, Y) = 0.8. What is the equation of regression of Y on X ?

Y = 0.175X – 5
Y = 1.12X – 5.8
Y = 1.12 X – 5
Y = 0.17X + 5.8

102.

In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets drawn have prime numbers ?

$\frac{1}{15}$
$\frac{1}{2}$
$\frac{2}{15}$
$\frac{1}{5}$

103.
A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2 boys and 1 girl ?

$\frac{2}{3}$

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{1}{2}$

The number of ways to select 3 persons from a group of 2 boys and 2 girls = ${}^{4}C_{3} = 4$ = 4

The number of ways to select 2 boys and 1 girl from a group of 2 boys and 2 girls = ${}^{2}C_{2} \times^{2} C_{1}$ = 2

Hence Probability is given as = $\frac{2}{4} = \frac{1}{2}$

104.

A dealer has a stock of 15 gold coins out of which 6 are counterfeits. A person randomly picks 4 of the 15 gold coins. What is the probability that all the coins picked will be counterfeits ?

$\frac{1}{91}$
$\frac{4}{91}$
$\frac{6}{91}$
$\frac{15}{91}$

105.

A husband and wife appear in an interview for two vacancies for the same post. The Probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. If the events are independent, then the probability of which one of the following is 11/35 ?