Answer:
a.[tex]\frac{1}{17}[/tex]
b.[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
We are given that two cards are drawn are randomly selected from a standard 52- cards deck.
Total cards=52
Total number of spade cards=13
Probability=[tex]\frac{number\;of\;favourable\;cases}{total\;number\;of cases}[/tex]
a.The probability of drawing two cards first card is spade and second card is spade without replacement =[tex]\frac{13}{52}\times \frac{12}{51}[/tex]
The probability of drawing two cards first card is spade and second card is spade=[tex]\frac{1}{17}[/tex]
b. The probability of drawing two cards first is spade and second card is a spade with replacement =[tex]\frac{13}{52}\times\frac{13}{52}[/tex]
The probability of drawing two cards first is spade and second card is a spade with replacement =[tex]\frac{1}{16}[/tex]
