Answer:
option B)[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
According to the given conditions, the total number of outcomes are 24.
The probability that of drawing hearts card is
P=[tex]\frac{(total number of hearts cases)}{(total number of cases)}[/tex]
total number of hearts cases= 6
thus P= [tex]\frac{6}{24} = \frac{1}{4}[/tex]
now the probability of 4 or 6 is,
P=[tex]\frac{(total number of 4 or 6 cases)}{(total number of cases)}[/tex]
thus P= [tex]\frac{8}{24} = \frac{1}{3}[/tex]
thus, by multiplication law,
final probality is P= [tex](\frac{1}{4})(\frac{1}{3})[/tex]
P= [tex]\frac{1}{12}[/tex]
