7.SP.C.8 Math Practice Questions — Sports Academy Games

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: $3 \times 4 = 12$ .

Practice playeasy

Two fair coins are flipped. What is the probability that both coins show heads?

$P(\text{heads on one coin}) = \dfrac{1}{2}$ . For two independent flips, $P(\text{both heads}) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}$ .

Practice playeasy

For two independent events, the probability of flipping two heads in a row: $P(A)=\tfrac{1}{2}$ , $P(B)=\tfrac{1}{2}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{2} \times \tfrac{1}{2} = \tfrac{1}{4}$ .

Practice playeasy

A game spinner has $8$ equal sections, exactly $2$ of which are blue. A fair coin is then flipped. What is the probability of landing on blue on the spinner and getting tails on the coin?

$P(\text{blue}) = \dfrac{2}{8} = \dfrac{1}{4}$ and $P(\text{tails}) = \dfrac{1}{2}$ . So $P(\text{both}) = \dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}$ .

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Two fair coins are flipped. How many outcomes are in the sample space?

Each coin has $2$ outcomes, so the sample space has $2 \times 2 = 4$ outcomes: HH, HT, TH, TT.

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A standard six-sided number cube is rolled twice. What is the probability of rolling a $2$ both times?

$P(2\text{ on one roll}) = \dfrac{1}{6}$ . For two independent rolls, $P(\text{both }2\text{s}) = \dfrac{1}{6} \times \dfrac{1}{6} = \dfrac{1}{36}$ .

Practice playeasy

For two independent events, the probability of rolling two 6's: $P(A)=\tfrac{1}{6}$ , $P(B)=\tfrac{1}{6}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{6} \times \tfrac{1}{6} = \tfrac{1}{36}$ .

Practice playeasy

The weather report says there is a $\dfrac{3}{5}$ chance of no rain on Saturday and an independent $\dfrac{3}{5}$ chance of no rain on Sunday. What is the probability that it does not rain on both days?

Multiply the independent probabilities: $\dfrac{3}{5} \times \dfrac{3}{5} = \dfrac{9}{25}$ .

7.SP.C.8 math practice. Learn by doing.

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