SOLUTION: In a standard deck of 52 playing cards, what is the probability of drawing an odd number? please help me.....

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Question 227647: In a standard deck of 52 playing cards, what is the probability of drawing an odd number?
please help me.....
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
In a standard deck of 52 playing cards, what is the probability of drawing an odd number?

Step 1. Assume we don't count the face cards as either odd or even.

Step 2. There are a total of 20 odd numbers (5 odd numbers per suit)or 20 possible outcomes out of the 52 cards.

Step 3. Then the P%28odd_card%29=20%2F52=5%2F13.

Step 4. ANSWER: The probability of drawing an odd number is 5%2F13.

Note if we count the face cards as odd (Jack and King) then there are eight more outcomes or now a total of 28 outcomes out of 52. Then, the probability of drawing an odd number increases as 28%2F52=7%2F13.

Then, for even numbers and counting the face cards (Queen) we have four more outcomes to add to the 20 even numbers or the probability drawing an even number is 24%2F52=6%2F13. Slightly lower probability when compared to the odd numbers.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV