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ACT Math: Pre-Algebra Drill 3, Problem 2. What is the probability that a red queen will be drawn?

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ACT Math 3.2 Pre-Algebra 436 Views


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Description:

ACT Math: Pre-Algebra Drill 3, Problem 2. What is the probability that a red queen will be drawn?

Language:
English Language

Transcript

00:03

Here's your shmoop du jour: A card is drawn at random from a 52 card deck.

00:08

What is the probability of drawing both a red card and a queen?

00:13

For this problem, let's assume Criss Angel is at least 500 yards away.

00:17

Here are the potential answers...

00:22

Ooh, a card problem. Vegas, baby!

00:25

So... even if we haven't lost our shirt at the blackjack tables...

00:28

...hopefully we're at least familiar with a card deck...

00:31

It has 52 cards, with 13 cards in each of 4 suits -- the red suits are diamonds and

00:37

hearts; the black suits are clubs and spades.

00:41

So ONE card is drawn and they are asking for a RED QUEEN.

00:45

Uh... no -- these queens.

00:48

Well, there are only 2 cards that are both red AND a queen --

00:52

-- the queen of hearts and the queen of diamonds.

00:55

So the odds of pulling EITHER of those cards is a 2 out of 52 chance

01:00

or, if we reduce the fraction...

01:01

...1 out of 26

01:03

The answer is E.

01:04

As in, "Easy money."

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