ASSIGNMENT 3 Option 2: Probability


1 Write the following probabilities from least likely to most likely: 1


__ 5 ; 50%; 23


2 A spinner is divided into 8 equal sectors. In order, the colours of the sectors are as follows: red; blue; green; red; blue; yellow; red; orange.


___ 25 ; 0,3; 1


__ 3 ; 100%; 3


___ 20 ; 0,81


2.1 What is the size of the angle of each sector?


2.2 If you spin the spinner, what is the probability that it will end up showing: 2.2.1 green


2.2.2 red 2.2.3 blue?


2.3 Some children took turns to spin the spinner. These were their results: green; red; blue; blue; yellow; orange; yellow; green. What was the relative frequency of the spinner showing: 2.3.1 green


2.3.2 red 2.3.3 blue? (1) (3)


__ 4 ; 0; 9


(4)


(3)


3 In a standard pack of playing cards, there are 26 red cards and 26 black cards. Three cards are chosen at random and replaced each time, after which the pack of cards is shuffled thoroughly. You want to find out what the probability is of choosing three cards of the same colour.


3.1 Would you choose a two-way table or a tree diagram to display the possible outcomes for this situation? Explain your choice.


3.2 Use a suitable diagram to determine the probability of choosing three cards of the same colour.


4 Mrs Patel has 11 grandchildren. Their ages are as follows: Girls: 17; 14; 12; 10; 10; 6 Boys: 15; 13; 9; 6; 2 Mrs Patel has two heirlooms that she wants to give to two of her grandchildren, but in order to be fair, she puts their names in a hat and draws two names at random.


4.1 What is the probability that the first child chosen is: 4.1.1 a girl


4.1.2 older than 11?


4.2 If the youngest girl is chosen first and her name is not put back into the hat, what is the probability that the second child chosen is: 4.2.1 a girl


4.2.2 older than 11?


4.3 Compare your answers from Questions 4.1 and 4.2. If they are different, explain in your own words why this is the case.


Assignment 3: Option 2: Probability (2) (2) (2) Total: 25 marks 447 (2) (6)


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