Probability PPT Without Answer
Probability PPT Without Answer
Probability PPT Without Answer
A U B = {1. 2. 3. 5}
A ∩ B = {1, 3}
A’ = {4, 5, 6}
Venn Diagram:
Probability
n( A)
P ( A)
n( S )
A B
P ( A B) P( A) P( B ) P( A B)
A Complementary Probability
P ( A' ) 1 P ( A)
A B Mutually Exclusive P( A B) 0
P ( A B ) P ( A) P( B )
P( A B)
Conditional Probability: P( A B)
P( B)
Independent Events: P( A B ) P( A) P( B)
Practice Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Question 1:
Sample Space {(1,1), (1,2), (1,3), (2,1), (2,2, ), (2,3), (3,1), (3,2), (3,3)}
a) Both scores are the same as each other.
b) Neither score is a 2.
c) At least one of the scores is a 3
d) Neither score is a 2 and both scores are the same
e) Neither score is a 2 or both scores are the same
Sample Space {(1,1), (1,2), (1,3), (2,1), (2,2, ), (2,3), (3,1), (3,2), (3,3)}
Question 3
Two men fire at a target. The probability that Alan hits the
target is 1/2 and the probability that Bob does not hit the
target is 1/3. Alan fires at the target first, then Bob fires at the
target. Find the probability that
a) Both Alan and Bob hit the target
b) only one hits the target
c) neither hits the target