SSAT Elementary Level Math : Outcomes

Study concepts, example questions & explanations for SSAT Elementary Level Math

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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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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? 

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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? 

Possible Answers:

 

Correct answer:

Explanation:

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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