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- Question
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
- Correct Answer
- 1/5
- 1. 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
- 2. 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
- 3. 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 Discuss
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. Consider 5 independent Bernoulli?s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?
Options- A. [1, 32]
- B. (0, 1)
- C. [1, 1/2]
- D. (1, 1/2] Discuss
- 9. There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?
Options- A. 1/10
- B. 1/9
- C. 1
- D. 0 Discuss
- 10. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Options- A. 2/13
- B. 1/13
- C. 1/26
- D. 1/52 Discuss
Probability problems
Search Results
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: 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: 55/221
Explanation:
n(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) =
= =
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: 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
Correct Answer: [1, 1/2]
Explanation:
Probability of atleast one failure
= 1 - no failure > 31/32
= 1 -
> 31/32
=
1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2].
Correct Answer: 0
Explanation:
As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address
P(E) = favorable outcomes /total outcomes
Here favorable outcomes are '0'.
So probability is '0'.
Correct Answer: 1/26
Explanation:
Here, n(S) = 52.
Let E = event of getting a queen of club or a king of heart.
Then, n(E) = 2.
P(E) =n(E)/n(S)=2/52=1/26.
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