Question

#17 - A bin contains 90 batteries (all size C). There are 30 Eveready, 24 Duracell, 20 Sony,10 Panasonic, and 6 Rayovac batteries. What is the probability that the battery selected is aDuracell?0 27.6%0 26.7%24.6%0 29.2%

Answer 1

According to the basic definition of probability,

`\text{Probability}=\frac{\text{ No. of favorable events}}{\text{ Total no. of events}}`

Given that the bin contains total 90 batteries, out of which 24 are duracell.

So the probability that a randomly selected battery is Duracell, is calculated as,

`\begin{gathered} P(\text{Duracell)}=\frac{\text{ No. of Duracell Batteries}}{\text{ Total no. of batteries}} \\ P(\text{Duracell)}=(24)/(90) \\ P(\text{Duracell)}\approx0.267 \\ P(\text{Duracell)}\approx26.7\text{ percent} \end{gathered}`

Thus, the probability that a randomly selected battery is Duracell, is 26.7% approximately.