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?
|Data Analysis||Elementary Probability|
|Math||Statistics and Probability|
|Mathematics and Statistics Assessment||Probabilistic Reasoning|
|Problem Solving and Data Analysis||Percentages|
|Product Type||SAT Math|
|SAT Math||Statistics and Probability|
|Statistics and Probability||Probability|
Use rules of probability to compute probabilities of compound events
what is the probability that both cards will be blue?
Round to the nearest tenth of a percent. And here are the potential answers…
Remember that the probability of a single trial is:
favorable divided by number of possible outcomes.
In the first trial, out of 12 cards, there are 3 blue cards.
There are 3 favorable outcomes, and 12 possible. This comes out to 3/12 or 1/4, or 25% chance.
Next, if we picked a blue card the first time, there would be 2 blue cards left in the deck,
and only 11 in total...
…which comes out to about 18%. To find the combined probability, we simply
multiply the two probabilities together.
.25 times .18 is .045…or 4.5%.
So our answer is (A).