Question

Martina read that approximately 10% of all people are left-handed. She wants to design a simulation to approximate the probability of selecting exactly 2 right-handed people when 3 people are randomly selected.

Martina spins the arrow on the spinner 3 times and records the resulting letters. Martina performs the simulation 30 times. The results of the simulation are shown.

RRR RLR RRR RRL RRR RRR
RRR RRR RRR LRR RRR RRR
RRR RRR RRR RRR RLR LRL
RRR RRL RRR RRR LLR RRR
RRR RRR LRR RRR RRR RRR
Based on the results of this simulation, when 3 people are randomly selected, exactly 2 right-handed people are selected approximately _______ of the time. Question 3 options:

10%


15%


20%


25%

Answer 1

To approximate the probability of selecting exactly 2 right-handed people when 3 people are randomly selected, we need to look at the simulation results and count the number of times exactly 2 right-handed people were selected.

From the simulation results, we can see that there are 6 instances where exactly 2 right-handed people were selected:

RLR

RRL

LRR

LLR

RRL

LRR

Out of the 30 simulations, this means that 6/30 or 1/5 or 20% of the time, exactly 2 right-handed people were selected when 3 people are randomly selected.

Therefore, the answer is 20%.