Probability basics. Game on.

Probability basics is a grade 7 math skill aligned to Common Core standard 7.SP.C.7: develop a probability model and use it to find probabilities of events. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 18 probability basics problems our math games drill.

CCSS 7.SP.C.718 questions in the bank
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Warm-upeasy

A standard die is rolled. What is the probability of not rolling a 66?

Five of the six faces are not 66, so P=116=56P = 1 - \dfrac{1}{6} = \dfrac{5}{6}.

Mid-gameeasy

A bag holds 33 red marbles and 55 blue marbles. One marble is drawn at random. What is the probability it is red?

There are 3+5=83 + 5 = 8 marbles in all, and 33 are red, so P(red)=38P(\text{red}) = \dfrac{3}{8}.

Mid-gameeasy

A spinner has 55 equal sections: 11 red, 22 blue, and 22 green. What is the probability the spinner does not land on red?

Four of the five equal sections are not red, so P=45P = \dfrac{4}{5}.

Mid-gameeasy

A spinner has 88 equal sections: 22 are green and 66 are yellow. What is the probability the spinner lands on green?

P(green)=28=14P(\text{green}) = \dfrac{2}{8} = \dfrac{1}{4}.

Mid-gameeasy

Each letter of the word EQUATION is written on a separate card, and one card is drawn at random. What is the probability the letter is not a vowel?

EQUATION has 88 letters, and 33 of them (Q,T,NQ, T, N) are consonants, so P=38P = \dfrac{3}{8}.

Mid-gameeasy

A standard six-sided die is rolled once. What is the probability of rolling a 44?

Exactly one of the 66 equally likely faces shows a 44, so the probability is 16\dfrac{1}{6}.

Mid-gameeasy

One letter is chosen at random from the word GAMES. What is the probability the letter is a vowel?

GAMES has 55 letters, and 22 of them (AA and EE) are vowels, so P=25P = \dfrac{2}{5}.

Buzzer beatereasy

A number cube is rolled once. What is the probability of rolling an even number?

Three of the six faces (2,4,62, 4, 6) are even, so P=36=12P = \dfrac{3}{6} = \dfrac{1}{2}.

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