Question

If the Probability of an event happening is 70%, what are the ODDS of the event happening? Group of answer choices 7:10 7:3 10:7 3:7

Answer 1

The odds of the event happening = 7:3

Explanation:

Given

Probability of an event happening = 70%

To find the odds of the event happening.

Solution:

Odds of an event happening is the ratio of the probability of the event happening and the probability of the event not happening.

Probability of the event not happening will be =
`100\%-70\%=30\%`

So, the ratio of the probabilities of event happening and not happening can be given as:

⇒
`(70\%)/(30\%)`

⇒
`(70)/(100)/ (30)/(100)` [Representing percent in fraction form]

⇒
`(70)/(100)* (100)/(30)` [Replacing division sign with multiplication sign by taking reciprocal of divisor.]

⇒
`(70)/(30)` [Canceling out the common terms]

⇒
`(7)/(3)` [Reducing fraction to simplest form]

Thus, odds of the event happening is =
`7:3`