Probability
- 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 ?
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∵ Total no. of favourable cases i,e., (5, 10, 15, 20, 25, 30, ....., 105, 110, 115, 120) = 24.
∴ Reqd . Prob = 24/120 = 1/5Correct Option: A
∵ Total no. of favourable cases i,e., (5, 10, 15, 20, 25, 30, ....., 105, 110, 115, 120) = 24.
∴ Reqd . Prob = 24/120 = 1/5
- A bag contains 7 white and 9 red balls. The probability of drawing a white ball is ?
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No of white balls = 7
Total no. of balls = 7 + 9 = 16Correct Option: D
No of white balls = 7
Red balls = 9
Total no. of balls = 7 + 9 = 16
Probability of drawing a white ball = 7/16
- A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or king of heart is ?
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Total ways = 52
There is one queen of club and one king of heart favourable ways = 1 + 1 = 2.Correct Option: B
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
- Find the probability that a vowel selected at random from the 5 vowels is an 'i'. ?
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Here, n(5) = {a, e, i,o, u}
and E = Event of selecting the vowel i = {i}Correct Option: C
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
- 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 ?
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Required probability = P(A) x P(B)
Correct Option: B
Required probability = P(A) x P(B)
= (7/8) x (9/10)
= 63/80