E XPERIMENTAL P ROBABILITY Lesson 17

WARM UP Between which two consecutive integers is each value? √52 √68 √102 √152 √8

WARM UP- SOLUTION Between which two consecutive integers is each value? √52 7 and 8 √68 8 and 9 √ and 11 √ and 13 √8 2 and 3

EXPERIMENTAL PROBABILITY Experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials.

EXAMPLE 1 Jake rolled a number cube 50 times. A 3 appeared 10 times. The experimental probability of rolling a 3 is 10 out of 50 or 20%.

EXAMPLE 2 A paper cup is dropped 5 times from a height. It landed on its base 2 times. What is the probability of a paper cup landing on its base?

EXAMPLE 2- SOLUTION A paper cup is dropped 5 times from a height. It landed on its base 2 times. What is the probability of a paper cup landing on its base? 2/5 or 0.4

EXAMPLE 3 OutcomeNumber of Tosses Heads15 Tails25 What is the experimental probability of flipping a heads?

EXAMPLE 3- SOLUTIONS OutcomeNumber of Tosses Heads15 Tails25 What is the experimental probability of flipping a heads? 15/40 = 3/8

EXAMPLE 4 Jeff plays soccer for his school. He did not make goals in 26 games out of 104 games he played. What is the experimental probability of Jeff making a goal in a game?

EXAMPLE 4- SOLUTION Jeff plays soccer for his school. He did not make goals in 26 games out of 104 games he played. What is the experimental probability of Jeff making a goal in a game? 104 – 26 = 78 78/104 = 39/52

EXAMPLE 5 Game IGame IIGame III Nathan20%80%10% Rachel10% 45% Henry70%10%45% The following percentages list the chances of each player winning in 3 different games. Which of the three games is fair?

EXAMPLE 5- SOLUTIONS Game IGame IIGame III Nathan20%80%10% Rachel10% 45% Henry70%10%45% The following percentages list the chances of each player winning in 3 different games. Which of the three games is fair? Since none of the games gives each player an equal chance of winning then none of them are fair.