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- Question
Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?
Options- A. 17/112
- B. 55/221
- C. 55/121
- D. 33/221
- Correct Answer
- 55/221
Explanationn(S) = = 1326
Let A = event of getting both red cards
and B = event of getting both queens
then = event of getting two red queens
n(A) = = 325, n(B) = = 6
P ( both red or both queens) =
= =
- 1. Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.
Options- A. 1/3
- B. 3/5
- C. 2/3
- D. 5/6 Discuss
- 2. The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya?s leave request will be approved ?
Options- A. 1
- B. 1/5
- C. 5
- D. 4/5 Discuss
- 3. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?
Options- A. 6/19
- B. 3/10
- C. 7/10
- D. 6/17 Discuss
- 4. Three unbiased coins are tossed. What is the probability of getting at most two heads ?
Options- A. 4/3
- B. 2/3
- C. 3/2
- D. 3/4 Discuss
- 5. A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?
Options- A. 9/13
- B. 4/13
- C. 10/13
- D. 8/13 Discuss
- 6. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options- A. 3/7
- B. 4/7
- C. 1/8
- D. 3/4 Discuss
- 7. If p:q are the odds in favour of an event,then the probability of that event is:
Options- A. p/q
- B. p/(p+q)
- C. q/(p+q)
- D. none Discuss
- 8. A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?
Options- A. 1/4
- B. 1/5
- C. 1/2
- D. 3/4 Discuss
- 9. The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?
Options- A. 3/70
- B. 4/70
- C. 9/70
- D. 1/50 Discuss
- 10. The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is
Options- A. 5/12
- B. 4/13
- C. 5/13
- D. 3/14 Discuss
Probability problems
Search Results
Correct Answer: 2/3
Explanation:
S = { 1, 2, 3, 4, .....18 }
=> n(S) = 18
E1 = {2, 4, 6, 8, 10, 12, 14, 16, 18}
=> n(E1) = 9
E2 = {3, 6, 9, 12, 15, 18 }
=> n(E2) = 6
=> n(E3) = 3
=> n(E) = 9 + 6 - 3 =12
where E = { 2, 3, 4, 6, 8, 9, 10, 12, 12, 14, 15, 16, 18 }
Correct Answer: 1/5
Explanation:
Number of applicants = 5
On a day, only 1 leave is approved.
Now favourable events = 1 of 5 applicants is approved
Probability that Laxmi priya's leave is granted = 1/5.
Correct Answer: 3/10
Explanation:
Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20
Let E = event of getting a multiple of 4 or 15
=multiples od 4 are {4, 8, 12, 16, 20}
And multiples of 15 means multiples of 3 and 5
= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.
= the common multiple is only (15).
=> E = n(E)= 6
Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.
Correct Answer: 3/4
Explanation:
Let S be the sample space.
Here n(S)=
= 8
Let E be the event of getting atmost two heads. Then,
n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}
Required probability = n(E)/n(S) = 6/8 = 3/4.
Correct Answer: 9/13
Explanation:
| There are 13 spade and 3 more jack
So probability of getting neither spade nor a jack: |
Correct Answer: 4/7
Explanation:
Let number of balls = (6 + 8) = 14.
Number of white balls = 8.
P (drawing a white ball) = 8 /14=4/7.
Correct Answer: p/(p+q)
Explanation:
Total number of cases=p+q
Favourable cases=p
Probability of that event is=p/(p+q)
Correct Answer: 1/5
Correct Answer: 9/70
Explanation:
Let A be the event of driver A drive safely after consuming liquor.
Let B be the event of driver B drive safely after consuming liquor.
Let C be the event of driver C drive safely after consuming liquor.
P(A)=2/5,P(B)=3/7,P(C)=3/4
The events A, B and C are independent . Therefore,
Therefore, The probability that all the drivers will drive home safely after consuming liquor is 9/70
Correct Answer: 4/13
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