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2 answers:
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Answer:
Odds for = Odds against = 1/2
Step-by-step explanation:
In a fair die, we have {1, 2, 3, 4, 5, 6} and
{1, 4, 5} and {2, 3, 6} constitute the entire sample space.
So, Probability of getting a 1 or a 4 or a 5
= Probability of getting a 1 +
Probability of getting a 4 +
Probability of getting a 5
=
=
Therefore, Odds for 1 or 4 or 5 = .
Since, Probability of getting a number between 1 and 6 is 1 and Probability of getting a number from 2 or 3 or 6 = , we have:
Probability of not getting a 1 or 4 or 5 = 1 -
=
Hence, odds for and odds against =