Assignment No. 1
Subject: Probability and Statistics Classes: ECE, CE and CSE
# Choose the correct answer and apply tick (√) mark to indicate the same.
1. Consider two events A and B in a sample space such that P(A)=0.3 and P(B)=0.8. Is it possible
that the two events are disjoint?
i. Yes
ii. No
iii. May be
iv. Incomplete date.
2. Assume that the probability of each kid in a family being a girl or boy is ½ . A family has three
kids and it’s observed that two of them are girls. What is the probability that third kid is also a
girl?
i. 0.5
ii. 0.25
iii. 0.33
iv. 0.75
3. A fair six-sided dice is rolled twice independently. What is the probability of getting 1 in a first
roll but not getting 3 or 4 in the second roll?
i. 1/9
ii. 2/9
iii. 1/3
iv. 4/9
4. A die is rolled 3 times. What is the probability of getting 6 on at least one roll?
i. 3/216
ii. 41/216
iii. 61/216
iv. 91/216
5. A five digit number is chosen at random. Find the probability that there are exactly two zeros
in the number?
i. 0.0999
ii. 0.4543
iii. 0.1354
iv. 0.0486
, # Solve the following questions by giving a proper explanation in your own words.
1. A box contains n balls marked from 1 to n. Two balls are drawn in succession with
replacement. Find the probability that numbers on the balls are consecutive integers.
Solution:
2. A card is drawn at random from each of two well-shuffled packs of acrds. What is the
probability that exactly one of them is a king of hearts?
Solution:
Subject: Probability and Statistics Classes: ECE, CE and CSE
# Choose the correct answer and apply tick (√) mark to indicate the same.
1. Consider two events A and B in a sample space such that P(A)=0.3 and P(B)=0.8. Is it possible
that the two events are disjoint?
i. Yes
ii. No
iii. May be
iv. Incomplete date.
2. Assume that the probability of each kid in a family being a girl or boy is ½ . A family has three
kids and it’s observed that two of them are girls. What is the probability that third kid is also a
girl?
i. 0.5
ii. 0.25
iii. 0.33
iv. 0.75
3. A fair six-sided dice is rolled twice independently. What is the probability of getting 1 in a first
roll but not getting 3 or 4 in the second roll?
i. 1/9
ii. 2/9
iii. 1/3
iv. 4/9
4. A die is rolled 3 times. What is the probability of getting 6 on at least one roll?
i. 3/216
ii. 41/216
iii. 61/216
iv. 91/216
5. A five digit number is chosen at random. Find the probability that there are exactly two zeros
in the number?
i. 0.0999
ii. 0.4543
iii. 0.1354
iv. 0.0486
, # Solve the following questions by giving a proper explanation in your own words.
1. A box contains n balls marked from 1 to n. Two balls are drawn in succession with
replacement. Find the probability that numbers on the balls are consecutive integers.
Solution:
2. A card is drawn at random from each of two well-shuffled packs of acrds. What is the
probability that exactly one of them is a king of hearts?
Solution:
