1. A bag contains 3 red, 5 blue, 7 black and 9 white identical balls. If a ball is drawn randomly from the bag, find the probability that it may be either red or blue or white. Are the events mutually exclusive or independent?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1. A bag contains 3 red, 5 blue, 7 black and 9 white
identical balls. If a ball is drawn randomly from the
bag, find the probability that it may be either red or
blue or white. Are the events mutually exclusive or
independent?
2. Two unbiased dice are rolled. Find the probability
that the sum of the numbers on the two faces is
either divisible by 3 or divisible by 4.
3. A magician takes out two cards from a deck of
cards, one after the other, without replacement. What
is the probability of getting an ace of spade, and a
card of heart, as first and second card, respectively?
4. A biased die is thrown thirty times and the number
of sixes seen is eight. If the die is thrown a further
twelve times find:
a. the probability that a six will occur exactly twice; b.
the expected number of sixes;
Transcribed Image Text:1. A bag contains 3 red, 5 blue, 7 black and 9 white identical balls. If a ball is drawn randomly from the bag, find the probability that it may be either red or blue or white. Are the events mutually exclusive or independent? 2. Two unbiased dice are rolled. Find the probability that the sum of the numbers on the two faces is either divisible by 3 or divisible by 4. 3. A magician takes out two cards from a deck of cards, one after the other, without replacement. What is the probability of getting an ace of spade, and a card of heart, as first and second card, respectively? 4. A biased die is thrown thirty times and the number of sixes seen is eight. If the die is thrown a further twelve times find: a. the probability that a six will occur exactly twice; b. the expected number of sixes;
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