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

Respuesta :

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

Answer: C. [tex]\frac{24}{91}[/tex]


Step-by-step 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=[tex]\frac{6}{14}[/tex]

Total card remaining=14-1=13

Probability of choosing a white card after black card=[tex]\frac{8}{13}[/tex]

Now, Probability of choosing a black card then a white card, without replacement=[tex]\frac{6}{14}\times\frac{8}{13}=\frac{24}{91}[/tex]

ACCESS MORE
EDU ACCESS