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3/24/2009

Question Based on Probability



Probability


Three coins are tossed once. Find the probability of getting
(a) 3 heads (b) Exactly 2 heads (c) At least 2 heads
(d) Atmost 2 heads (e) No heads (f) exactly 2 tails
(g) Exactly one tail (h) a head on the first coin
(ans.:- 1/8, 3/8, ½, 7/8, 1/8, 3/8, 3/8, ½)
A coin and a die are thrown. what is the probability of getting
(a) A head (b) an odd number (c) a head and an even number
(ans.:- ½, ½, ¼)
20 cards are numbered from 1 to 20.one card is then drawn at random .what is the probability that the number on the card will be
(a) A multiple of 4 (b) odd (c) greater than 12 (d) divisible by 5 (e) not a multiple of 6
(Ans: - ¼, 1/2, 2/5, 1/5, 17/20)
4.) What is the probability that a leap year selected at random will have 53 Sundays.
(Ans.:- 2/7)
A bag containing 30 tickets numbered from 1 to 30.Five tickets are drawn at random and arranged in ascending order. Find the probability that the third number is 20.
(Ans.:- 285/5278)
A bag consists 6 white, 5 black and 4 yellow balls. Find the chance of getting either a black or yellow ball.
(Ans.:- 3/5)
In a given race, the odds in favors of three horses A, B, C are 1:3, 1:4 and 1:5 respectively. Assuming that dead heat is impossible, find the probability that one of them wins.
(Ans: - 37/60)
In a class X1 of a school 40% of the students study mathematics and 30% study biology.10% of the class study both mathematics and biology. If a student is selected at random from the class, find the probability that he will be studying mathematics or biology or both.
(Ans.:- 0.6)
A bag contains 7 white, 5 red and 8 black balls. Two balls are drawn at random. Find the probability that they will be white
(Ans.:- 21/190)
The chances of survival after 25 years are 3 out of 10 for a man and 4 out of 10 for a woman. Find the probability that (a) both will be alive after 25 years (b) at least one of them will be alive after 25 years.
(Ans.:- 3/25, 29/50)

Student of Rai Business School - New Delhi

Sanjeev Kumar Singh

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