Problem 1 :
A die is rolled. What is the theoretical probability of getting :
a) a "six"
b) a "prime number"?
Problem 2 :
A bag contains 1 yellow, 2 green and 5 blue beds. One bead is chosen at random. Find the probability that it is :
(a) Yellow (b) not yellow
Problem 3 :
1 A die numbered 1 to 6 is rolled once. Find:
a) P(3)
b) P(even number)
c) P(a number at least 1)
d) P(5)
e) P(not a 5)
f) P(a number greater than 6)
Problem 4 :
The five illustrated cards are well shuffled and placed face down on a table. One of the cards is randomly chosen.
Problem 5 :
A bag contains 10 beads. 5 are white, 2 are red, 1 is blue, 1 is green and 1 is black. A bead is taken at random from the bag. Find:
a) P(white)
b) P(blue)
c) P(not black) Solution
Problem 6 :
A letter is randomly chosen from GENEVA.
a) Find the probability that it is:
(i) an E
(ii) a Z
b) Given that the letter chosen first is a G and it is removed, what is the probability that a second randomly chosen letter is a vowel? Solution
Problem 7 :
A dart board has 30 sectors, numbered 1 to 30. A dart is thrown towards the bulls-eye and misses in a random direction. Determine the probability that the dart hits:
a) a multiple of 5
b) a number between 7 and 13 inclusive
c) a number greater than 18
d) 15
e) a multiple of 7
f) an even number that is a multiple of 3.
Answers :
(1) (a) 1/6 (b) 1/2
(2) (a) 1/8 (b) 7/8
(3) (a) 1/6 (b) 1/2 (c) 1 (d) 1/6 (e) 5/6 (f) 0
(4) (a) 2/5 (b) 1/5 (c) 4/5 (d) 4/5
(5) (a) 1/2 (b) 1/10 (c) 9/10
(6) (a) (i) 1/3 (ii) 0 (b) 3/5
(7) (a) 1/5 (b) 7/30 (c) 11/30 (d) 1/30 (e) 2/15
(f) 1/6
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