Question

Math 12 Quantithe Literacy Teddual Assignment: Lesson 16 Hasie Probability (15 pts) Name: letesh below, make sure to include labels. Show work where necessary.rund der Make sure all labels and H ote sentences R Bestien Cuestion 16: If you flip a fair com 10 times and it lands heads up 5 times, this would e coin landing heads up. Is this an example of theoretical or empirical probably resoning 2) The spinner below shows five equally sized slices. Tom spun the dial 500 times and got the following t he Outcome White Grey Black Number of Spins 304 101 95 3) Calculate the experimental probability of landing on a white slice. Write the probability as a. Fraction 304 500 (poucas b. Decimal 0.608 c. Percentage 60.8% - Calculate the theoretical probability of landing on a white slike. While the probability d. Fraction p ro e. Decimal f. Percentage 5) What do you think would be the outcome il Tom sun the dial 100.000 times? Would the two peser probabilities get closer together or further apart? Explain. S h e time, if he had suche dial uitge had saw the dial 10

Answer 1

1. When one toss a coin for 10 times, it is not certain that head will turn up exactly for 5 times. In theoretical work, we consider that probability of turning head and tails are equal(=0.5) for an unbiased coin. The given statement is an example of theoretical probability.

3. Experimental Probability-

Probability of landing on a white slice = 304/500 = 76/125 (fractional), = 0.608 (decimal), =60.8% (percentage)

4. Theoretical Probability-

White is in 3 part out of total 5 slices i.e 3/5 is probability.

So, when Tom spun the dial for 500 times, white will come 300 times and black and grey will come up 100 times each.

Therefore, Probability of landing on a white slice = 3/5 (fractional), =0.6 (decimal), =60% (percentage).

5. If Tom spun the dial 100,000 times then the experimental probability and theoretical probability will nearly be equal i.e two types of probabilities get closer together. Because, for example if Tom spun for 3 times then he will not get accurate result, but he will get nearly equal probability with theoretical probability if number of trials is increased.