Question

On 3 and 4, please answer this two question

Answer 1

Answer:

3) ½ chance

4) 60 times

Step-by-step explanation:

3) Theoretically, if the spinner is spun 150 times

how many times would you expect to get an

even number?

There are 12 equal sections, getting an even numbers is a ½ chance. ( same as odd numbers)

The probability is ⁶⁄₁₂ or ½.

In addition, this is theoretical probabilty, it doesn't require experiments.

4) Based on the experiment, if the spinner is

spun 150 times, how many times would you

expect to get an even number?

Getting a 2: ⁴⁄₆₀ or ¹⁄₁₅

Getting a 4: ³⁄₆₀ or ¹⁄₂₀

Getting a 6: ⁷⁄₆₀

Getting a 8: ³⁄₆₀ or ¹⁄₂₀

Getting a 10: ⁵⁄₆₀ or ¹⁄₁₂

Getting a 12: ²⁄₆₀ or ¹⁄₃₀

Chance of picking a even number using 60 tries:

⁴⁄₆₀ + ³⁄₆₀ + ⁷⁄₆₀ + ³⁄₆₀ + ⁵⁄₆₀ + ²⁄₆₀ = ⁴ ⁺ ³ ⁺ ⁷ ⁺ ³ ⁺ ⁵ ⁺ ²⁄₆₀ = ²⁴⁄₆₀ or ⅖

Picking a even number using 150 tries:

⅖ · 150 = 60 times