Question

One card is randomly selected from a deck of cards. Find the odds against drawing a spade greater than 2 and less than 8.

Answer 1

Answer:

The odds against drawing a spade greater than 2 and less than 8 is $\frac{5}{47}$.

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

$Odd=\frac{favorable}{unfavorable}$

$Odd=\frac{5}{47}$

Therefore the odds against drawing a spade greater than 2 and less than 8 is $\frac{5}{47}$.