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ACT Math: Pre-Algebra Drill 3, Problem 2. What is the probability that a red queen will be drawn?
ACT Math: Pre-Algebra Drill 5, Problem 5. How many red cards must be added so that the proportion of red cards is one half?
ACT Math: Pre-Algebra Drill 6, Problem 1. How many different outfits can be made from a choice between three different shirts, four different pairs...
ACT Math 3.2 Pre-Algebra 436 Views
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ACT Math: Pre-Algebra Drill 3, Problem 2. What is the probability that a red queen will be drawn?
- Pre-Algebra / Simple probability
- Product Type / ACT Math
- Foreign Language / Spanish Subtitled
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Statistics and Probability / Compute probabilities of compound events
- Statistics and Probability / Use rules of probability to compute probabilities of compound events
- Pre-Algebra / Elementary counting technique and simple probability
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!
Full Transcript
- 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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