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worty [1.4K]
2 years ago
9

An experiment has three possible mutually exclusive outcomes, A, B, or C. The odds of A occurring are 3 to 10 and the

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
6 0

Using the relation between odds and probability, it is found that:

1. P(C) = 17/39.

2. The odds of C occurring are 17 to 22.

<h3>What is a probability and what is an odd?</h3>

  • A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • An odd is the number of <u>desired outcomes divided by the number of non-desired outcomes</u>.

Considering the odds, the probabilities for A and B are given as follows:

  • P(A) = 3/(3 + 10) = 3/13.
  • P(B) = 1/(1 + 2) = 1/3.

The sum of all probabilities is of 1, hence the probability of C is found as follows:

\frac{3}{13} + \frac{1}{3} + P(C) = 1

\frac{9 + 13 + 39P(C)}{39} = 1

39P(C) = 17

P(C) = 17/39.

17 desired outcomes and 39 - 17 = 22 non-desired, hence:

The odds of C occurring are 17 to 22.

More can be learned about the relation between odds and probability at brainly.com/question/25683609

#SPJ1

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Given:

Hayden 1\dfrac{1}{2} minutes to complete each level of his video game.

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To find:

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