MTH 107 Introduction to Finite Mathematics
Worksheet 14/Fall 2015
Name:
14.1 Mendel found that snapdragons have no color dominance; a snapdragon with one red gene and
one white gene will have pink flowers. If a pure-red snapdragon is crossed with a pure-white one,
find the probability of the following.
(a) a red offspring
(b) a white offspring
(c) a pink offspring
14.2 A card is dealt from a complete deck of 52 playing cards (no jokers). What is probability that this
card will be
(a) above a five?
(b) Below a ten?
(c) both above a five and below a ten?
(d) either above a five or below a ten?
14.3 Use complements to find the probability that a card dealt from a full deck is a s stated. (count
an ace as high.)
(a) below a queen.
(b) If o(E) = 4 : 9, find o(E ′ ).
4
(c) If Pr[E] = , find o(E) and o(E ′ ).
9
(d) If o(E) = 5 : 13, find Pr[E].
14.4 Find the probability that the sum is as stated when a pair of dice is rolled.
(a) 7 or 11
(b) 6
(c) even numbered doubles.
(d) odd and less than 6.
SOLUTIONS for Quiz 14; MTH107, URI, /Fall 2015
14.1 (a) 0;
14.2 (a)
(b) 0;
(c) 1.
9
≈ 0.6923
13
(b)
8
≈ 0.615
13
(c)
4
≈ 0.3
13
(d) 1
14.3 (a)
10
≈ 0.769
13
(b) o(E ′ ) = 9 : 4
(c) o(E) = 4 : 5 and o(E ′ ) = 5:4.
(d) Pr[E] =
14.4 (a)
5
= 0.27.
18
2
8
= = 0.2
36
9
(b)
5
= 0.138
36
(c)
3
1
=
= 0.083
36
12
(d)
1
6
= = 0.16 because there are 6 favorable outcomes:
36
6
3 = 1 + 2 = 2 + 1,
5=1+4=2+3=3+2=4+1
2