In a sales promotion, a clothing store gives its customers a chance to draw a ti

Question

In a sales promotion, a clothing store gives its customers a chance to draw a ticket from a box that contains a discount on their next purchase. The box contains 3000 tickets giving a 10% discount, 500 giving a 30% discount, 100 giving a 50% discount, and 1 giving a 100% discount. (Enter your probabilities as fractions.)

(a) What is the probability that a given customer will randomly draw a ticket giving a 100% discount?


(b) What is the probability that a given customer will randomly draw a ticket giving a 50% discount?


(c) What is the probability that a given customer will randomly draw a ticket giving a discount of less than 50%?


(d) Is a given customer more likely to get a ticket with a 30% discount or with a discount higher than 30%?

A given customer would be more likely to get a ticket with a 30% discount. A given customer would be more likely to get a ticket with a discount higher than 30%.    

Explanation / Answer

a) P(100% Discount)

=1/(3000+500+100+1)

= 1/3601

b) P(50% Discount)

=100/(3000+500+100+1)

= 100/3601

c) P(less than 50%)

= P(10%)+P(30%)

= (3000+500)/(3000+500+100+1)

= 3500/3601

d) customer more likely to get a ticket with a 30% discount because it's Probability is higher

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