MA110 FINITE MATHEMATICS SUMMER 2001
June 2001 QUIZ 3 Jellett
SCORE
NAME:..........................................
/20
1. A card is dealt from a complete deck of 52 cards. Find the probability that the
card is
(i) a jack and red
(ii) a jack or red
(iii) not a red jack
2. In a 5/35 lottery, 5 different numbers from the numbers 1 through 35 are picked
as the “winning numbers”. A 1st prize is awarded to any ticket whose 5 numbers
are the 5 winning numbers, and a second prize goes to any ticket with 4 (but not
all 5) of the winning numbers. Find the probability of
(i) A ticket winning a first prize
(ii) A ticket winning a second prize
3. A salesman knows that his commission will be 0,1,2,3, or 4 ’000 dollars with the
probabilities given in the following table:
commission 0 $1000 $2000 $3000 $4000
probability 0.15 0.2 0.45 0.1 0.1
Find the salesman’s expected commission.
