Grade 7 · Statistics & probability

Probability of simple events practice

Probability of simple events is a grade 7 math skill aligned to Common Core standard 7.SP.C.5: understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 16 probability of simple events problems our math games drill.

CCSS 7.SP.C.516 questions in the bank
Sample questions

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Question 1easy

What is the probability of rolling a 4 on a standard die? Give a simplified fraction.

P=favorabletotal=16=16P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{1}{6} = \dfrac{1}{6}.

Question 2easy

What is the probability of rolling an even number on a die? Give a simplified fraction.

P=favorabletotal=36=12P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{3}{6} = \dfrac{1}{2}.

Question 3easy

What is the probability of flipping heads on a coin? Give a simplified fraction.

P=favorabletotal=12=12P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{1}{2} = \dfrac{1}{2}.

Question 4easy

What is the probability of drawing an Ace from a deck? Give a simplified fraction.

P=favorabletotal=452=113P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{4}{52} = \dfrac{1}{13}.

Question 5easy

What is the probability of drawing a red ball from 2 red and 3 blue? Give a simplified fraction.

P=favorabletotal=25=25P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{2}{5} = \dfrac{2}{5}.

Question 6easy

What is the probability of the spinner landing on a shaded section (5 of 8)? Give a simplified fraction.

P=favorabletotal=58=58P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{5}{8} = \dfrac{5}{8}.

Question 7easy

A bag holds 44 red marbles and 55 green marbles. One marble is drawn at random. What is the probability it is green? Give a simplified fraction.

There are 4+5=94 + 5 = 9 marbles in all and 55 are green, so P(green)=59P(\text{green}) = \dfrac{5}{9}.

Question 8easy

A standard six-sided die is rolled once. What is the probability of rolling a number greater than 44? Give a simplified fraction.

The favorable faces are 55 and 66, so P=26=13P = \dfrac{2}{6} = \dfrac{1}{3}.

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