Question

Use the data in the following table, which shows the results of a survey of 2000 gamers concerning their favorite home video game systems, organized by age group. If a survey participant is selected at random, determine the probability of the following. Round to the nearest hundredth.The participant prefers the Nintendo Wii U system.

Answer 1

0.30

Explanations:

What is probability?

Probability is the likelihood or chance that an event will occur. Mathematically:

`Probability=(n(E))/(n(S))`

where:

• n(E) is the ,expected outcome

,

• n(S) is the ,total outcome

Since the results shows a total survey of 2000 gamers, hence the total outcome is 2000.

Determine the total participant that prefers Nintendo Wii U system

Total participant that refers Nintendo Wii U system = 64 + 103 + 246 + 193

Total participant that refers Nintendo Wii U system n(E) = 606

Determine the required probability

`\begin{gathered} Pr(participant\text{ prefers the Nintendo})=(606)/(2000) \\ Pr(participant\text{ prefers the Nintendo})=0.303 \\ Pr(participant\text{ prefers the Nintendo})\approx0.30 \end{gathered}`

Hence the probability the participant prefers the Nintendo Wii U system is 0.30