Question

a spinner is divided into 8 identical sectors and labeled 1 through 8 how many spins are expected for a multiple of 3 to be spun 15 times

1. 24 spins are expected for a multiple of 3 to be spun 6 times.

### What is a sector?

• The area of a sector is the space inside the circle formed by two radii and an arc.
• It is a fraction of the total area of the circle.
• A significant sector has a central angle that is greater than 180° 180° 180° 180°.
• A circular sector (symbol: ) is the piece of a disk (a closed region circumscribed by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the bigger as the major sector.
To find how many spins are expected for a multiple of 3 to be spun 6 times:
• If there are 8 sections, there is a 1 in 8 chance of getting each section.
• Consider multiples of 3 ⇒ 3, 6.
• And to spin that multiple 6 times, you need to multiply the number of sections by the number of multiples.
• The number of sections(nos) is 8, and the number of multiples(nom) is 3.
So,
• nos × nom = 8 × 3 = 24
Therefore, 24 spins are expected for a multiple of 3 to be spun 6 times.