Answer:
The odds against drawing a spade greater than 2 and less than 8 is [tex]\frac{5}{47}[/tex].
Step-by-step explanation:
Total number of cards in a standard deck of cards = 52
Total number of cards of each suit (Spade, club,heart, diamond)=13
Total number of spade cards, which are greater than 2 and less than 8 = 5
We need to find the odds against drawing a spade greater than 2 and less than 8.
Let event A be the total number of cards which are greater than 2 and less than 8
Favorable outcomes:
A' = 52 - 5 = 47
Unfavorable outcomes:
A = 5
Formula for odds
[tex]Odd=\frac{favorable}{unfavorable}[/tex]
[tex]Odd=\frac{5}{47}[/tex]
Therefore the odds against drawing a spade greater than 2 and less than 8 is [tex]\frac{5}{47}[/tex].
