Elsa won a charity raffle. her prize will be randomly selected from the 9 prizes shown in picture. the prizes include 7 rings, 1 camera, and 1 headset.
a) find the odds in favor of Elsa winning a headset.
b) find the odds against Elsa winning a headset.
Homework Answers
Given that,
Elsa won a charity raffle. her prize will be randomly selected from the 9 prizes shown in picture. the prizes include 7 rings, 1 camera, and 1 headset.
a)
We want to find the odds in favor of Elsa winning a headset. Now we know that odds in favor of a particular event are given by number of favorable outcomes to number of unfavorable outcomes.
Formula: Odds in favor of Elsa winning a headset = (Number of favorable outcomes / Number of unfavorable outcomes)
Here favorable outcome is headset and all other outcomes is unfavorable i.e ring and camera is unfavorable outcome.
So, Number of favorable outcomes = 1 [ since there is 1 head set ]
Number of unfavorable outcomes = (9-1) = 8 [ since there is 7 rings and 1 camera ]
So, Odds in favor of Elsa winning a headset = 1/8
Answer:- Odds in favor of Elsa winning a headset = 1/8
b)
We want to find the odds in against of Elsa winning a headset. Now we know that odds against is given by number of unfavorable outcomes to number of favorable outcomes.
Formula: Odds in against of Elsa winning a headset = (Number of unfavorable outcomes / Number of favorable outcomes)
And from the part (a) we get,
Number of favorable outcomes = 1 [ since there is 1 head set ]
Number of unfavorable outcomes = (9-1) = 8 [ since there is 7 rings and 1 camera ]
So, Odds in against of Elsa winning a headset = 8/1
Answer:- Odds in favor of Elsa winning a headset = 8/1
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