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- Question
One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.
Options- A. 1/3
- B. 1/2
- C. 1/4
- D. 1/6
- Correct Answer
- 1/2
ExplanationTotal number of elementary events = 52
There are 26 red cards,out of which one red card can be drawn in ways =26.
So,required probability = 26/52 = 1/2
- 1. Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.
Options- A. 9/29
- B. 10/21
- C. 12/21
- D. 14/19 Discuss
- 2. What is the probability that a couple with four children have atleast one girl?
Options- A. 0.0625
- B. 0.9375
- C. 0.5
- D. 0.0257 Discuss
- 3. The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:
Options- A. 9/13
- B. 11/13
- C. 2/13
- D. None of these Discuss
- 4. The probabiltiy that throw of two dice yields a total of 5 or 6 is:
Options- A. 2/14
- B. 5/18
- C. 3/4
- D. 1/4 Discuss
- 5. An unbiased die is rolled. Find the probability of getting a multiple of 3?
Options- A. 1/6
- B. 1/3
- C. 5/6
- D. None of these Discuss
- 6. Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.
Options- A. 18/95
- B. 18/190
- C. 1/2
- D. 91/190 Discuss
- 7. A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?
Options- A. 215/216
- B. 1/216
- C. 215/256
- D. 1/52 Discuss
- 8. 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
- 9. What is the probabiltiy of getting a mutliple of 2 or 5 when an unbiased cubic die is thrown?
Options- A. 1/3
- B. 1/2
- C. 2/3
- D. 1/6 Discuss
- 10. What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?
Options- A. 1
- B. 1/2
- C. 3/4
- D. 1/3 Discuss
Probability problems
Search Results
Correct Answer: 10/21
Explanation:
4 persons can be selected from 9 in ways =126
Fvaourable events = =60
So,required probability = 60/126 = 10/21
Correct Answer: 0.9375
Explanation:
Here,n = 4(children)
P(girl)= 0.5
P(of atleast one girl)= 1 - P(no girls)
= 1 - 0.0625 = 0.9375
Correct Answer: 2/13
Explanation:
Number of queen cards = 4
Number of ace cards = 4
P(either a queen or ace) = 4/52 + 4/52= 8/52 = 2/13
Correct Answer: 5/18
Explanation:
Total number of cases=36
Number of favourable cases(sum 5 or 6)=10
P(getting total of 5 or 6)=10/36=5/18
Correct Answer: 1/3
Explanation:
S = { 1, 2, 3, 4, 5, 6 }
=> n(S) = 6
E = { 3, 6}
=> n(E) = 2
Therefore, P(E) = 2/6 =1/3
Correct Answer: 91/190
Explanation:
Total number of elementary events = ways =190
There are 7 white balls out of which one white can be drawn in 7 ways and one ball from remaining 13 balls can be drawn in ways.
So,favourable events =
Therfore,required probability = ( )/ =91/90
Correct Answer: 215/216
Explanation:
Probability of getting 6 at the top once =1/6
Probability of getting 6 at the top three times =1/6 x 1/6 x 1/6 =216
Probability of no getting 6 at he top any time = 1 - 1/216 = 215/216
Correct Answer: 21/46
Explanation:
Let S be the sample space and E be the event of selecting 1 girl and 2 boys.
Then, n(S) = Number ways of selecting 3 students out of 25
= = 2300.
n(E)= = 1050.
P(E) = n(E)/n(s) = 1050/2300 = 21/46
Correct Answer: 2/3
Explanation:
Total numbers in die=6
P(multiple of 2)=1/2
P(multiple of 5)=1/6
P(multiple of 2 or 5)=2/3
Correct Answer: 1/2
Explanation:
P(heart cards)=13/52
P(diamond cards)=13/52
P(heart or diamond)=13/52+13/52=1/2
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