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- Question
- 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
- Correct Answer
- 3/8
ExplanationNumber of cases favourable of E = 3
Total Number of cases = (3 + 5 ) = 8
? P(E) = 3/8 - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. The population of a town at the beginning of the year 1986 was 2,65,000. If the rate of increase be 52 per thousand of the population. Find the population at the beginning of the year 1991.?
Options- A. 3,40,400
- B. 3,41,400
- C. 3,42,400
- D. 3,43,400 Discuss
- 6. 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 Discuss
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Probability problems
Search Results
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: 3,41,400
Explanation:
We have r = Rate of increase
= 52/1000 x 100
= 5.2, n = 5, P0 = 265000
? P = 265000(1 + 5.2 / 100)5
? log P = log 265000 + 5(log 105.2 - log 100)
= 5.4232 + 5(2.0220 - 2)
= 5.4232 + 0.1100
= 5.5332
? P = antilog(5.5332) = 341400
Correct Answer: 1/4
Explanation:
Probability of getting head in one trail = 1/2
? Reqd Probability of getting heads in both the trails = 1/2 x 1/2 = 1/4
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
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