Question

A box contains 8 white cards and 6 black cards. What is the probability of choosing a black card then a white card, without replacement?

a) 16/49
b)15/91
c)24/91
d)12/49

Answer 1

Its C and And P(---) means probabilty of.

Answer 2

Answer: C.
`(24)/(91)`

Explanation:

Number of white cards= 8

Number of black cards=6

Total cards in the box= 8+6=14

Probability of choosing a black card=
`(6)/(14)`

Total card remaining=14-1=13

Probability of choosing a white card after black card=
`(8)/(13)`

Now, Probability of choosing a black card then a white card, without replacement=
`(6)/(14)*(8)/(13)=(24)/(91)`