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- Question
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Options- A. 3/13
- B. 1/13
- C. 3/52
- D. 9/52
- Correct Answer
- 3/13
ExplanationClearly, there are 52 cards, out of which there are 12 face cards.
P (getting a face card) = 12/52=3/13.
- 1. Three unbiased coins are tossed.What is the probability of getting at least 2 heads?
Options- A. 1/4
- B. 1/2
- C. 3/4
- D. 1/3 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 together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Options- A. 3/20
- B. 29/34
- C. 47/100
- D. 13/102 Discuss
- 4. A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?
Options- A. 136/345
- B. 17/87
- C. 316/435
- D. 158/435 Discuss
- 5. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Options- A. 21/46
- B. 1/5
- C. 3/25
- D. 1/50 Discuss
- 6. 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :
Options- A. 8/39
- B. 15/39
- C. 12/13
- D. None of these Discuss
- 7. If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
Options- A. 1/6
- B. 1/2
- C. 1/3
- D. 1/4 Discuss
- 8. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?
Options- A. 1/2
- B. 3/4
- C. 4/5
- D. 2/5 Discuss
- 9. A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?
Options- A. 1/6
- B. 2/3
- C. 14/33
- D. 5/6 Discuss
- 10. Three unbiased coins are tossed. What is the probability of getting at most two heads?
Options- A. 3/4
- B. 7/8
- C. 1/2
- D. 1/4 Discuss
Probability problems
Search Results
Correct Answer: 1/2
Explanation:
Here S= {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}.
Let E = event of getting at least two heads = {THH, HTH, HHT, HHH}.
P(E) = n(E) / n(S)
= 4/8= 1/2
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: 13/102
Explanation:
Let S be the sample space.
Then, n(S) = =(52 x 51)/(2 x 1) = 1326.
Let E = event of getting 1 spade and 1 heart.
n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = = 169.
P(E) = n(E)/n(S) = 169/1326 = 13/102.
Correct Answer: 316/435
Explanation:
Let A be the event of getting two oranges and
B be the event of getting two non-defective fruits.
and be the event of getting two non-defective oranges
=
Correct Answer: 21/46
Correct Answer: 15/39
Explanation:
P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)
=
Correct Answer: 1/6
Explanation:
P(first letter is not vowel) =
P(second letter is not vowel) =
So, probability that none of letters would be vowels is =
Correct Answer: 2/5
Correct Answer: 2/3
Explanation:
Possible outcomes = (RY, YP, PR)
2C1 4C1 + 4C1 6C1 + 6C1 2C1
Required probability = (2C1 4C1 + 4C1 6C1 + 6C1 2C1)/(12C2)
= 8 + 24 + 12/66
= 44/66
= 2/3.
Correct Answer: 7/8
Explanation:
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting at most two heads.
Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.
P(E) =n(E)/n(S)=7/8.
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