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Sample Spaces – answers

June 6, 2017

Workout

Question 1:

(a)  7

(b)  2 and 12

(c)  (i)  2/36 (1/18)       (ii)  4/36 (1/9)       (iii)   5/36      (iv)  6/36  (1/6)

(d)  (i)  3/36 (1/12)     (ii)  15/36 (5/12)    (iii)  6/36 (1/6)    (iv)  26/36 (13/18)

(e)  (i)  18/36 (1/2)     (ii)  7/36           (iii)  15/36 (5/12)

Question 2 (a):

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2(b):  (i)  2/36 (1/18)       (ii)   1/36      (iii)   4/36 (1/9)       (iv)   2/36 (1/18)

(c) (i)  27/36 (3/4)           (ii)  9/36 (1/4)       (iii)   28/36 (7/9)

Question 3 (a):

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(b)   1/9

(c)   4/9

(d)  2/9

Question 4(a):

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(b)  1/12

(c)  2/12   (1/6)

(d)  5/12

(e)  3/12

Question 5(a):

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(b)  5/12

(c)  4/12  (1/3)

Apply

Question 1(a):

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(b)  The probability of an even score is 4/9

Question 2(a):

(a) Rule 1 is square the number on the spinner

(b) Rule 2 is double the number on the spinner and add 1.

(c)  The missing number is 16

(d)  6/8 (3/4)

Question 3:

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P(square number) = 8/36 = 4/18 = 2/9

40 winners (40 x £3 = £120)

£180 – £120 = £60

Question 4:    8/12  (2/3)

Question 5:    21/36  (7/12)

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Question 6:   6/36  (1/6)

 

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