Question

Let the Sample Space S be defined as equally likely integer values from 2 to 18 (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18). Also, let event A be defined as (2, 3, 4, 5, 6, 7) and event B as (6, 7, 9, 10).

a) What is the conditional probability P(B|A)?

b) What is the probability P(A ∪ B)?

Answer 1

a) n(A) = 6

n(B|A) = n( {6,7} ) = 2

The conditional probability P(B|A)

: 0.333333 | تن

b) A U B = { 2,3,4,5,6,7,9,10}

n(A U B) = 8

and n(S) = 17

The  probability P(A ∪ B) is

=0.470588