Question

Use the spinner to identify the probability to the nearest hundredth of the pointer landing on a non-shaded area. HELP PLEASE!!!

Answer 1

Answer:

i) 0.56,

ii) 0.69.

Step-by-step explanation:

i)

Given :

To find the probability that a pointer on circle lands inside the non-shaded area.

Solution :

Probability of an event = $\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ possible \ outcomes}$

⇒ $\frac{Non-shaded \ area}{Total \ area}$

Since,

The circle is of uniform size, we can calculate probability by the given angles,.

⇒ $\frac{Non-shaded \ degree (area)}{Total \ degree(area)}$

⇒ $\frac{75 + 125}{360} = \frac{200}{360}$ ≈ 0.56

ii) Same as 1st part,.

Given :

To find the probability that a pointer on circle lands inside the non-shaded area.

Solution :

Probability of an event = $\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ possible \ outcomes}$

⇒ $\frac{Non-shaded \ area}{Total \ area}$

Since,

The circle is of uniform size, we can calculate probability by the given angles,.

⇒ $\frac{Non-shaded \ degree (area)}{Total \ degree(area)}$

A circle contains an angle of 360°, hence the unshaded area (in degrees) = 360° - (80° + 30°) = 250°

⇒ $\frac{250}{360}$ ≈ 0.69