1. What is the chance that a leap year selected at random will contain 53 Sundays? Ans: 2/7 2. A box contains tags marked, 1, 2,....n. Two tags are chosen at random without replacement. Find the probability that the numbers on the tags will be consecutive numbers. Ans: 2/n. 3. A room has 3 electric lamps. From a collection of 10 electric bulbs of which 6 are good, 3 are selected at random and put in the lamps. Find the probability that the room is lighted. Ans: 29/30 4. A sample space contains three sample points with associated probabilities given by 2p, p², and 4p-1. Find the value of p. 5. Each coefficient in the equation ax² + bx + c = 0 is determined by throwing an ordinary die. Find the probability that the equation will have real roots. 6. A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random. Find the probability that the number of the drawn ball will be a multiple of (a) 5 or 9, and (b) 5 or 6. Ans i) 3/10 (ii) 1/3. Ans:/11 – 3 = 0.3166. Ans: 43/216
1. What is the chance that a leap year selected at random will contain 53 Sundays? Ans: 2/7 2. A box contains tags marked, 1, 2,....n. Two tags are chosen at random without replacement. Find the probability that the numbers on the tags will be consecutive numbers. Ans: 2/n. 3. A room has 3 electric lamps. From a collection of 10 electric bulbs of which 6 are good, 3 are selected at random and put in the lamps. Find the probability that the room is lighted. Ans: 29/30 4. A sample space contains three sample points with associated probabilities given by 2p, p², and 4p-1. Find the value of p. 5. Each coefficient in the equation ax² + bx + c = 0 is determined by throwing an ordinary die. Find the probability that the equation will have real roots. 6. A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random. Find the probability that the number of the drawn ball will be a multiple of (a) 5 or 9, and (b) 5 or 6. Ans i) 3/10 (ii) 1/3. Ans:/11 – 3 = 0.3166. Ans: 43/216
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:1. What is the chance that a leap year selected at random will contain 53 Sundays? Ans: 2/7
2. A box contains tags marked, 1, 2,....n. Two tags are chosen at random without replacement.
Find the probability that the numbers on the tags will be consecutive numbers.
Ans:
2/n.
3. A room has 3 electric lamps. From a collection of 10 electric bulbs of which 6 are good, 3
are selected at random and put in the lamps. Find the probability that the room is lighted.
Ans: 29/30
4. A sample space contains three sample points with associated probabilities given by 2p, p²,
Ans:/11 – 3 = 0.3166.
and 4p-1. Find the value of p.
5. Each coefficient in the equation ax² + bx + c = 0 is determined by throwing an ordinary
die. Find the probability that the equation will have real roots.
6. A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random. Find the
Ans: 43/216
probability that the number of the drawn ball will be a multiple of (a) 5 or 9, and (b) 5 or
6. Ans i) 3/10 (ii) 1/3.
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