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- Question
- The probability of getting heads in both trials when a balanced coin is tossed twice will be?
Options- A. 1/4
- B. 1/2
- C. 1
- D. 3/4
- Correct Answer
- 1/4
ExplanationProbability of getting head in one trail = 1/2
? Reqd Probability of getting heads in both the trails = 1/2 x 1/2 = 1/4 - 1. The odds in favour of an event are 3 : 5. The probability of occurrence of the event is?
Options- A. 3/5
- B. 3/8
- C. 1/3
- D. 1/5 Discuss
- 2. In a lottery there are 20 prizes and 15 blanks. What is the probability of getting prize?
Options- A. 1/10
- B. 2/5
- C. 4/7
- D. 2/7 Discuss
- 3. An urn contains 9 red, 7 white and 4 black balls. A ball is drawn at random. What is the probability that the ball drawn is not red?
Options- A. 1/11
- B. 9/20
- C. 2/11
- D. 11/20 Discuss
- 4. What is the probability that a number selected from the numbers 1, 2, 3, 4, 5....16 is a prime number?
Options- A. 1/16
- B. 5/8
- C. 3/8
- D. 7/16 Discuss
- 5. What rate per cent per annum compound interest will Rs. 3,000 in 3 years if the interest is reckoned half yearly?
Options- A. 12%
- B. 13%
- C. 14%
- D. 15% Discuss
- 6. A number is chosen at random among the first 120 natural numbers. The probability of the number chosen being a multiple of 5 or 15 is?
Options- A. 1/5
- B. 1/8
- C. 1/6
- D. None of these Discuss
- 7. A bag contains 7 white and 9 red balls. The probability of drawing a white ball is?
Options- A. 1/16
- B. 1/52
- C. 7/52
- D. 7/16 Discuss
- 8. A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or king of heart is?
Options- A. 1/52
- B. 1/26
- C. 1/13
- D. None of these Discuss
- 9. Find the probability that a vowel selected at random from the 5 vowels is an 'i'.?
Options- A. 4/5
- B. 1/3
- C. 1/5
- D. 1/2 Discuss
- 10. If the probability that A will live 15 yr is 7/8 and that B will live 15 yr is 9/10, then what is the probability that both will live after 15 yr?
Options- A. 1/20
- B. 63/80
- C. 1/5
- D. None of these Discuss
Probability problems
Search Results
Correct Answer: 3/8
Explanation:
Number of cases favourable of E = 3
Total Number of cases = (3 + 5 ) = 8
? P(E) = 3/8
Correct Answer: 4/7
Explanation:
P (getting a prize ) = 20 / (20 + 15 ) = 20 / 35 = 4/7
Correct Answer: 11/20
Explanation:
P (red) = 9 / (9 + 7 + 4) = 9/20
? P(not-red) = (1 - 9/20) = 11/20
Correct Answer: 3/8
Explanation:
S = {1, 2, 3, ......16}
E = {2, 3, 5, 7, 11, 13}
? P(E) = n(E)/n(S) = 6/16= 3/8
Correct Answer: 14%
Explanation:
? 3000 = 2000(1 + r/200)6
? 3/2 = (1 + r/200)6
? 1 + r/200 = (3/2)1/6
? log(1 + r/200)= 1/6(log 3 - log 2 )
? log(1 + r/200)= 1/6(0.4771-.3010)
= 0.02935
? (1 + r/200) = antilog(.02935)
? 1 + r/200 = 1.070 = 1 + 7/100
? r = 14%
Correct Answer: 1/5
Explanation:
? Total no. of favourable cases i,e., (5, 10, 15, 20, 25, 30, ....., 105, 110, 115, 120) = 24.
? Reqd . Prob = 24/120 = 1/5
Correct Answer: 7/16
Explanation:
No of white balls = 7
Red balls = 9
Total no. of balls = 7 + 9 = 16
Probability of drawing a white ball = 7/16
Correct Answer: 1/26
Explanation:
Total ways = 52
There is one queen of club and one king of heart favourable ways = 1 + 1 = 2.
? Required probability = 2/52 = 1/26
Correct Answer: 1/5
Explanation:
Here, n(5) = {a, e, i,o, u}
and E = Event of selecting the vowel i = {i}
? P(E)= n(E)/n(S) = 1/5
Correct Answer: 63/80
Explanation:
Required probability = P(A) x P(B)
= (7/8) x (9/10)
= 63/80
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