1. samira is playing a game with the spinner shown. a. what is the theoretical probability that the pointer…

1. samira is playing a game with the spinner shown. a. what is the theoretical probability that the pointer will land in a section labeled with the letter a on a given spin? write as a fraction. b. predict how many times the pointer will land in a section labeled with the letter a after 300 spins.

1. samira is playing a game with the spinner shown. a. what is the theoretical probability that the pointer will land in a section labeled with the letter a on a given spin? write as a fraction. b. predict how many times the pointer will land in a section labeled with the letter a after 300 spins.

Answer

Explanation:

Step1: Determine total sections and A - sections

The spinner has 10 equal - sized sections. There are 2 sections labeled with the letter A.

Step2: Calculate theoretical probability

The theoretical probability (P(A)) of an event is given by the formula (P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So, (P(A)=\frac{2}{10}=\frac{1}{5}).

Step3: Predict number of times for 300 spins

To predict the number of times the pointer will land on A in 300 spins, we use the formula (n = P(A)\times N), where (N = 300) and (P(A)=\frac{1}{5}). So, (n=\frac{1}{5}\times300 = 60).

Answer:

a. (\frac{1}{5}) b. 60