A vowel will be randomly selected from the sample space {a, e, i, o, u}.A number will be randomly selected from the sample space {1, 2}. Drawa tree diagram to represent the possible outcomes of randomly selectinga vowel and a number. Then find the probability of choosing e and 2.
Question
A vowel will be randomly selected from the sample space {a, e, i, o, u}.A number will be randomly selected from the sample space {1, 2}. Drawa tree diagram to represent the possible outcomes of randomly selectinga vowel and a number. Then find the probability of choosing e and 2.
Solution
To draw a tree diagram for this problem, you would start with a single point, or "node," which represents the starting point. From this node, you would draw five branches, each representing one of the vowels in the sample space {a, e, i, o, u}. At the end of each of these branches, you would then draw two more branches, representing the numbers in the sample space {1, 2}. This would give you a total of 10 possible outcomes: (a,1), (a,2), (e,1), (e,2), (i,1), (i,2), (o,1), (o,2), (u,1), (u,2).
The probability of any one of these outcomes occurring is 1/10, since there are 10 possible outcomes and each is equally likely. Therefore, the probability of choosing 'e' and '2' is 1/10.
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