A shopping mall is having a seasonal lucky draw. For every purchase over $500, a customer can enter the lucky draw once. In the lucky draw, the customer draws a bal from a box containing 80 balls in comprising four different colours. Each colour represents a prize, as shown below. Colour Red Blue Yellow White Number of balls In the box 2 10 28 40 Prize A gold coin $100 cash coupon $50 cash coupon $20 cash coupon If the purchase is over $1000, the customer can draw two balls without replacement. a) If a ball is drawn at random, find the probability of getting a cash coupon. b) If two balls are randomly drawn without replacement, find the probability of gett i) One cash coupon and one gold coin. ii) Two cash coupons with the same value. iii) It is given that the two cash coupons have the same value; find the probabilit the two cash coupons are worth $20.
A shopping mall is having a seasonal lucky draw. For every purchase over $500, a customer can enter the lucky draw once. In the lucky draw, the customer draws a bal from a box containing 80 balls in comprising four different colours. Each colour represents a prize, as shown below. Colour Red Blue Yellow White Number of balls In the box 2 10 28 40 Prize A gold coin $100 cash coupon $50 cash coupon $20 cash coupon If the purchase is over $1000, the customer can draw two balls without replacement. a) If a ball is drawn at random, find the probability of getting a cash coupon. b) If two balls are randomly drawn without replacement, find the probability of gett i) One cash coupon and one gold coin. ii) Two cash coupons with the same value. iii) It is given that the two cash coupons have the same value; find the probabilit the two cash coupons are worth $20.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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Transcribed Image Text:A shopping mall is having a seasonal lucky draw. For every purchase over $500, a
customer can enter the lucky draw once. In the lucky draw, the customer draws a ball
from a box containing 80 balls in comprising four different colours. Each colour
represents a prize, as shown below.
Colour Number of balls
In the box
Red
Blue
Yellow
White
2
10
28
40
Prize
A gold coin
$100 cash coupon
$50 cash coupon
$20 cash coupon
If the purchase is over $1000, the customer can draw two balls without replacement.
a) If a ball is drawn at random, find the probability of getting a cash coupon.
b) If two balls are randomly drawn without replacement, find the probability of getting:
i) One cash coupon and one gold coin.
ii) Two cash coupons with the same value.
111) It is given that the two cash coupons have the same value; find the probability that
the two cash coupons are worth $20.
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