Probability And Statistics | Week 1

Probability And Statistics Week 1 Answers

Link : Probability And Statistics (

Checkout Answers in comments also of your fellow-mates!

Q1) In a tuition batch of two students, probability that X will pass the exam is 1/4 and that of Y is 1/2 What is the probability that neither of X and Y will pass the exam? Assume that the outcomes of exams for X and Y are independent of each other.
(A) 1/6
(B) 1/4
(C) 7/12
(D) 5/12

Q2) Two dices are tossed together. What is the probability that the product of the number is either a prime number or is divisible by 2?
(A) 3/36
(B) 8/9
(C) 7/36
(D) 5/36

Q3) There are seven apples, five mangoes and ten guavas in a basket. Four fruits are selected at random one by one without replacement. What is the probability that first fruit drawn is a mango, second one is a guava and the third one is an apple and the fourth one is again a mango?
(A) 10/627
(B) 5/132
(C) 5/144
(D) 5/627

Q4) One ball is drawn at random from each of two baskets, where first basket contains 3 red and 5 black balls and second basket has 4 red and 7 black balls. What is the probability that both the balls are black?
(A) 7/30
(B) 7/60
(C) 35/88
(D) 3/22

Q5) A die is rolled twice independently. What is the probability that either the first throw shows a number less than or equal to 3 or the second throw shows at least 5.
(A) 5/9
(B) 7/3
(C) 2/3
(D) 1/2

Q6) From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
(A) 1/3
(B) 1/15
(C) 25/57
(D) 1/221

Q7) Let E₁, E₂, E3 be 3 independent events such that P(Ei) = 1 − 1/2i, i = 1,2,3. Then what is the probability that exactly two of the events occur?
(A) 31/64
(B) 10/64
(C) 3/64
(D) 7/64

Q8) Two independent events E and F are such that P(E ∩ F) =1/6 , P(E’ ∩ F’) = 1/3 and P(E)- P(F) > 0. Then P(F’)=
(A) 2/3
(B) 1/2
(C) 1/3
(D) 1/6

Q9) A box contains 1000 light bulbs. The probability that there is at least 1 defective bulb in the box is 0.1, and the probability that there are at least 2 defective bulbs is 0.05. Find the probability that the box contains at most 1 defective bulb?
(A) 0.25
(B) 0.48
(C) 0.95 – answerd by garima (comments)
(D) 0.60

Q10) Suppose Ω = sample space of the experiment where a three faced dice is thrown with prime numbers among numbers 1-6 as the faces. Consider

(A) A₁, A₂ and A3
(B) A₁ and A₂
(C) A₁ and A4
(D) A₁, A2, A3 and A4

If you find any answer wrong please tell us in comments !

* The material and content uploaded on this website are for general information and reference purposes only and don’t copy the answers of this website to any other domain without any permission or else copyright abuse will be in action.

Please do it by your own first! Protection Status

Other Referral Sites for Answers

close button
5 1 vote
Article Rating
Notify of

Newest Most Voted
Inline Feedbacks
View all comments
1 month ago

Answer 9. (C) 0.95
Explanation – We can use complement rule for the probability of an event A to find the probability of its complement event, i.e. the event that A does not occur. The probability of at most 1 defective bulb is the complement of the event of having at least 2 defective bulbs, so it is given by:

P(at most 1 defective bulb) = 1 – P(at least 2 defective bulbs) = 1 – 0.05 = 0.95

1 month ago

Answer of 10th is option (a).
mention it 😎

1 month ago

10. A1 and A2 form a sigma field, as they satisfy the three properties of a sigma field

close button
AdBlock Detected

Looks like you are using an ad-blocking browser extension. We request you to whitelist our website on the ad-blocking extension and refresh your browser to view the content.

Would love your thoughts, please comment.x