Relative frequency The working out of probabilities through

Relative frequency The working out of probabilities through some given evidence. Relative frequency means probability so the answers must be between 0 and 1.

Relative Frequency Example A spinner with five edges numbered 1 to 5 is spun 20 times and the results are shown below. 1 4 3 3 4 5 1 2 1 3 4 5 1 3 4 2 2 1 5 4 Complete the table of relative frequencies below. Number on spinner Relative Frequency 1 2 3 4 5

Example The Bumbleton and Stickton village football teams have played each other 50 times. Bumbleton have won 10 times, Stickton have won 35 times, and the teams have drawn 5 times. Estimate the probability that Stickton will win the next match

Example Matthew decides to try to estimate the probability that toast lands butter-sidedown when dropped. He drops a piece of buttered toast 50 times and observes that it lands butter-sidedown 30 times. Estimate the probability that the toast lands butter-side-down.

Example A drawing pin can land 'point up' or 'point down' when dropped. Jim drops a drawing pin 100 times and it lands "point up" 35 times. Estimate the probability of the drawing-pin landing "point up"

Example A spinner has a red sector (R) and a yellow sector (Y). The arrow is spun 1000 times. The table shows the relative frequency of a red after different numbers of spins. a) How many times was a red obtained after 200 spins? b) Which relative frequency gives the best estimate of the probability of a red? Explain your answer.

Example A dice is suspected of bias. Here are the results of 20 throws 3 4 2 3 1 5 6 2 4 3 1 1 6 2 5 6 5 3 (a) Use these results to calculate the relative frequency of each score Score 1 2 3 4 5 Relative frequency (b) Use the relative frequency to calculate how many times you would expect to score 3 in 60 throws of this dice. (c) Compare your answer to part (b) with the number of times you would expect to score 3 in 60 throws of a fair dice. 6