Question

Please somebody help me with this. I asked previously but nobody gave me an answer.

Also please show working out if you’re able to:

A spinner is divided into 18 equal sections. Answer the following:

How many sections need to be shaded blue so that P(blue) = 1/3?

How many sections need to be shaded yellow so that P(yellow) = 1/2?

Answer 1

Answer:

p(blue)=6 p(yellow)=9

6/18 6÷6=1

18÷6=3

1/3

9÷9=1

18÷9=2

1/2

Answer 2

Answer:

• 6 blue sections
• 9 yellow sections

Step-by-step explanation:

The idea with a spinner is that the probability of landing on one of n equal sections is 1/n. If there are 18 equal sections, the probability of landing on one of them is 1/18.

All of the sections are mutually exclusive: it is not possible to land on more than one section. That means the probability of landing on either of two sections is 2/18, any of three sections is 3/18, and so on. If you want the probability of landing on blue to be 1/3 = 6/18, then 6 of the 18 sections must be colored blue.

Similarly, if you want the probability of landing on yellow to be 1/2, then (1/2)×(18) = 9 of the sections must be colored yellow.