Question
Robbie spun a spinner a total of 200 times and worked out the estimated probability of it landing on blue after different numbers of spins. His results are shown in the table below. a) What is the best estimate for the probability of landing on blue? Give your answer as a fraction in its simplest form. b) Copy and complete the sentence below, using one of the options to explain why your answer to part a) is the best estimate. a) Number of spins & 5 & 10 & 20 & 100 & 200 Estimated probability & (1)/(5) & (1)/(5) & (1)/(4) & (19)/(100) & (9)/(50) b) This is the best estimate because it qquad involves the smallest involves the largest is the mode number of trials number of trials
Answer
4.3
(170 Votes)
Joel
Master · Tutor for 5 years
Answer
a) The best estimate for the probability of landing on blue is
.b) This is the best estimate because it involves the largest number of trials.
Explanation
## Step 1:The question asks for the best estimate of the probability of the spinner landing on blue. From the table, we can see that the estimated probabilities are given for different numbers of spins. ## Step 2:The best estimate for the probability of an event is usually obtained when the number of trials is the largest. This is because as the number of trials increases, the experimental probability tends to get closer to the theoretical probability. ## Step 3:Looking at the table, the largest number of spins is 200, and the corresponding estimated probability is
. ###