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SAT Math 1.5 Statistics and Probability 358 Views


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SAT Math 1.5 Statistics and Probability. If Silas draws one card, then places it in his pocket and draws another, what is the probability that both cards will be blue?

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English Language

Transcript

00:03

You can't handle the Shmoop!

00:07

Twelve cards are placed in a deck.

00:09

This kind of deck. Get that ship out of here.

00:11

Three of these cards are blue, four are green, and five are red.

00:16

If Silas draws one card, then places it in his pocket and draws another,

00:20

what is the probability that both cards will be blue?

00:25

Round to the nearest tenth of a percent. And here are the potential answers…

00:30

Remember that the probability of a single trial is:

00:34

favorable divided by number of possible outcomes.

00:38

In the first trial, out of 12 cards, there are 3 blue cards.

00:42

There are 3 favorable outcomes, and 12 possible. This comes out to 3/12 or 1/4, or 25% chance.

00:49

Next, if we picked a blue card the first time, there would be 2 blue cards left in the deck,

00:54

and only 11 in total...

00:56

…which comes out to about 18%. To find the combined probability, we simply

01:01

multiply the two probabilities together.

01:04

.25 times .18 is .045…or 4.5%.

01:10

So our answer is (A).

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