8. Identifying Probability Values. a) What is the probability of an event thatis

Question

8. Identifying Probability Values.    a) What is the probability of an event thatis certain to occur?    b) What is the probability of an impossibleevent?    c) A sample space consists of 10 seperateevents that are equally likely. What is the probabilityeach?    d) On a true/false test, what is theprobability of answering a question correctly if you make a randomguess.    e) On a multiple-choice test with fivepossible ansers for each question, what is the probability ofanswering a question correctly if you make a random guess? 8. Identifying Probability Values.    a) What is the probability of an event thatis certain to occur?    b) What is the probability of an impossibleevent?    c) A sample space consists of 10 seperateevents that are equally likely. What is the probabilityeach?    d) On a true/false test, what is theprobability of answering a question correctly if you make a randomguess.    e) On a multiple-choice test with fivepossible ansers for each question, what is the probability ofanswering a question correctly if you make a random guess?

Explanation / Answer

a) The event will occur definitely. So the probability isequal to 1. b) The event will never happen. So the probability of itoccuring is equal to 0. c) There are 10 events which are equally likely. So theprobability of each event happening is the same. You know that thetotal should be equal to 1 and that the events are seperate. So theprobability of each event is equal to 1/10 = 0.1 d) if you make random guesses you can either have the correctanswer or the wrong answer. So the probability of each of theseevents happening is equal to 0.5 e) there are 5 possible answers, and you know that only one iscorrect, so 1 out of the 5 answers is correct. So the probabilityof getting it right is 1/5 = 0.2

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