All SSAT Elementary Level Math Resources
Example Questions
Example Question #21 : Probability
Selena has a standard deck of cards. What is the chance that she randomly selects a red card from the deck?
To find the probability of Selena picking a red card from a standard deck of cards, we need to set up a fraction like this: .
A standard deck of cards has 52 cards, 26 of which are black and 26 of which are red. Our fraction looks like this:
We can reduce the fraction, since both numbers share a common factor.
Example Question #21 : Probability
Josh has cards in his hand. These cards are each red, yellow, or blue. If of the cards are red and are yellow, what is the probability of drawing a blue card?
Of the cards Josh has in his hand, are red and are yellow. We need to figure out how many blue cards Josh must have in his hand. We are told that each of the cards in Josh's hand is either red, yellow, or blue, so if a card is not red or yellow, it is blue. Since cards that are red or yellow, the rest of the cards must be blue. , so there must be blue cards in Josh's hand. The total number of cards is , so the chance of drawing a blue card is .
Example Question #23 : Probability
A piggy bank contains an assortment of quarters, dimes, nickels, and pennies. Assuming all coins are equally likely to be picked, if there are pennies, nickels, dimes, and quarters, what is the probability of drawing a quarter out of the bank?
Adding together all of the numbers, total coins. Since there are quarters, the probability of drawing a quarter is , which can be simplified to .
Example Question #21 : Probability
Malcolm is on vacation with his family. He packed five shirts and five pairs of shorts. There are three white shirts, one black shirt, and one blue shirt. There are two blue pairs of shorts, one yellow pair of shorts, one black pair of shorts, and one red pair of shorts. If Malcolm reached into his suitcase and pulled out an article of clothing, what is the probability that it is either blue or black?
We know that there are 10 articles of clothing (5 shirts and 5 pairs of shorts). First, you need to determine how many of these shirts and shorts are either blue or black. The problem says Malcolm has one black shirt, one blue shirt, two blue pairs of shorts, and one black pair of shorts.
This means he has a 5 in 10 chance of picking clothing that is blue or black.
Example Question #21 : Outcomes
In a regular deck of cards, what is the probability of flipping up a diamond?
There are cards in a regular deck. There are clubs, diamonds, hearts, and spades.
The probability is the amount of diamonds over the total amount of cards.
The probability is:
Example Question #22 : Probability
What is the probability of flipping a coin twice and land on tails both times?
Flipping a coin the first time is independent of the second time.
The probability of getting tails on the first try is:
The probability of getting tails on the second try is:
Multiply the probabilities.
The correct answer is:
Example Question #27 : Probability
A bag contains red socks and purple socks. What is the chance that I pick a purple sock from the bag?
To find the probability of picking a purple sock from the bag of socks, we need to set up a fraction like this: . The problem tells us that we have purple socks, so we can put that on the top of the fraction. The total number of socks is equal to purple socks + red socks, giving us a sum of (which goes on the bottom of the fraction). That gives us a chance of picking a purple sock from the bag!
Example Question #23 : Probability
A bag contains 3 green marbles, 1 red marble, 4 blue marbles, and 2 white marbles. What is the probability of pulling out a white marble?
To solve, simply divide the derside number of outcomes by the total number of outcomes.
The desired outcome is white marbles and the total number of outcomes is the total number of marbles.
Thus,
Example Question #28 : Data Analysis And Probability
If you roll a fair die, what is the probability that you an even number?
A fair die has sides so there are that many possible options.
There are even numbers on a die .
That means the probability of getting an even number is or .
Example Question #23 : Probability
Johnny has 3 blue marbles, 4 red marbles and 10 white marbles. What is the probability that Johnny will choose a blue marble?
Probability can generally be described by the equation below.
In this case, we must first understand that the part is just the blue marbles, there are 3 of them.
We also must add up all the marbles to find the total for the "whole."
When we plug in the "part" and the "whole" below we get:
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