Question

Tommy is thinking about entering a contest at the local gas station. Some of Tommy’s

friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy

understands probabilities better when they are given in ratio form. (For example 1 out of every

6 will win).

*Give Tommy your estimate of 0.27 probability in ratio form.

*What is the exact percent value of 0.27 probability?

* What is the probability (in any form) that Tommy won’t win?
(whoever answers this gets a cookie :D)

Answer 1

Give Tommy your estimate of 0.27 probability in ratio form. 1 out of 4

What is the exact percent value of 0.27 probability? 27%

What is the probability (in any form) that Tommy won’t win? 73%

Explanation:

Answer 2

(a)1 out of 4.

(b)27%

(c)0.73 or 73%

Explanation:

Tommy’s probability of winning is given as 0.27.

(a)Ratio Form

`0.27=(27)/(100) =27:100\\$Divide both sides of 27:100 by 27\\This gives:\approx 1:4`

Therefore, the probability that Tommy will win is 1 out of 4.

(b)Exact Percent Value

Multiply the probability by 100 to obtain the exact percent value.

0.27 X 100=27%

(c)Probability that Tommy will not win.

Probability that Tommy will win+Probability that Tommy will not win=1

0.27+Probability that Tommy will not win=1

Probability that Tommy will not win=1-0.27

Probability that Tommy will not win=0.73