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Chapter 5: lidubvoiebu (page 210)
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Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).
Part (a) Determine a sample space for this experiment.
Part (b) Determine the events that the total number of heads is even.
Explain what is wrong with the following argument: When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. Therefore the probability is that the sum is 12.
Consider the set consisting of the first positive whole numbers . Determine explicitly the numbers in the set satisfy each of the following conditions:
Part (a) at least
Part (b) at most
Part (c) betweenandinclusive.
Roughly speaking, What is an experiment? an event?
In 10 Bernoulli trials, how many outcomes contain exactly three successes?
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