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.

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 .

Adding together all of the numbers,  total coins. Since there are  quarters, the probability of drawing a quarter is , which can be simplified to .

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.  

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:  

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:  

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!

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,

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 .

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: