Question

This spinner is used to find probability. (a) What is the probability of getting a 5 in a single spin? (b) Is the pointer of the spinner more likely or less likely to land on an even number? Explain.

Answer 1

rThe Solution:

Given:

Required to find:

(a) the probability of getting a 5 in a single spin.

(b) if the pointer of the spinner is more likely or less likely to land on an even number.

(a) The probability of getting a 5 is:

`P(getting\text{ a 5})=\frac{number\text{ of 5 in the spinner}}{total\text{ number in the spinner}}=(1)/(5)`

Thus, the correct answer is 1/5

(b)

We shall compare the probability of landing an even number to that of any other number.

`\begin{gathered} P(getting\text{ an even})=\frac{number\text{ of even number}}{total\text{ number}}=(2)/(5) \\ \\ Note:\text{ even numbers are 2 and 4.} \end{gathered}`

Thus, it is more likely to land on an even number since the probability of landing on an even number is bigger than that of getting any other number.

Therefore, the correct answer is more likely.