Question

Lisa and Bart spin this spinner 60 times the result are below/ black=17 blue=15 orange=21 purple=7 a. What is the experimental probability of a spin of orange? B which color had an experimental probability that matched its theoretical probability

Answer 1

a) 35% because 21÷60= 0.35
b) blue because each color has the theoretical probability of 25%. 15÷60=0.25

Answer 2

$\text{Answer: a) }P(\text{ getting an orange )}=\frac{7}{20}$

b) Blue color had an experimental probability that matched its theoretical probability.

Explanation:

Since we have given that

Number of times this spinner is spinned = 60

Number of times black occur = 17

Number of times blue occur = 15

Number of times orange occur = 21

Number of times purple occur = 7

a) So, Experimental probability of a spin of orange is given by

$P(\text{ getting an orange }=\frac{\text{ Number of times orange occur}}{\text{total number of times the spinner spins}}\\\\P(\text{ getting an orange})}=\frac{21}{60}=\frac{7}{20}$

b) which color had an experimental probability that matched its theoretical probability.

According to theoretical probability ,

Every event must have equal probability, i.e. $\frac{1}{4}$

And,

$P(\text{ getting blue color)}=\frac{15}{60}=\frac{1}{4}$

So, Blue color had an experimental probability that matched its theoretical probability.