Star Math probability Practice — Sports Academy Games

probability skills

make estimates and determine probabilities

Standards basis

Research-based, state-specific learning progressions aligned to state grade-level math standards (CCSS-like strands are visible on the product page) — national

How the Star Math reports it

Star Math is Renaissance’s proprietary adaptive assessment, not a shared framework like SBAC or NAEP. The page describes research-based, state-specific learning progressions aligned to English and Spanish, rather than a single common external blueprint.

Blueprint & weighting

Star Math uses the Independent / state-specific framework (strands structure).

Official sources

Renaissance Star Math product page
Colorado DOE — STAR MATH Assessment Instrument Table (4 broad domains: Numbers and Operations; Algebra; Geometry and Measurement; Data Analysis, Probability, and Statistics; grades 1-12)

8 free questions · 0/0 correct

Practice playeasy

For two independent events, the probability of an even roll then a head: $P(A)=\tfrac{3}{6}$ , $P(B)=\tfrac{1}{2}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{3}{6} \times \tfrac{1}{2} = \tfrac{1}{4}$ .

Practice playeasy

From a table, 4 are plants that flower AND got fertilizer and 16 total are plants that got fertilizer. Find the conditional probability of flowering given fertilized (simplified fraction).

$P(A\mid B) = \dfrac{P(A \text{ and } B)}{P(B)} = \dfrac{4}{16} = \dfrac{1}{4}$ .

Practice playeasy

A game spinner is divided into $12$ equal sections. Exactly $4$ sections are gold and the rest are silver. What is the probability that the spinner lands on gold on one spin?

$P(\text{gold}) = \dfrac{4}{12} = \dfrac{1}{3}$ .

Practice playeasy

A standard six-sided die is rolled once. What is the probability of rolling a $4$ ?

Exactly one of the $6$ equally likely faces shows a $4$ , so the probability is $\dfrac{1}{6}$ .

Practice playeasy

The whole numbers $1$ through $24$ were each written on separate slips of paper. Those $24$ slips were placed in a box. One slip will be randomly drawn from this box. What is the probability that the slip will show a factor of $24$ ?

Factors of $24$ from $1$ to $24$ are $1, 2, 3, 4, 6, 8, 12, 24$ , giving $8$ favorable outcomes: $P = \tfrac{8}{24} = \tfrac{1}{3}$ .

Practice playeasy

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

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{4}{52} = \dfrac{1}{13}$ .

Practice playeasy

A standard six-sided die is rolled, then a fair coin is flipped. What is the probability of rolling an even number and then getting heads?

Rolling an even number has a probability of $3$ out of $6\textsf{,}$ or $\dfrac{1}{2}\textsf{.}$ Heads has a probability of $1$ out of $2\textsf{,}$ or $\dfrac{1}{2}\textsf{.}$ The events are independent, so $\dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}\textsf{.}$

Practice playeasy

A cafeteria offers $3$ mains and $4$ sides. How many outcomes are in the sample space of (main, side) meals?

A tree diagram starts with $3$ branches for the mains. Each of those splits into $4$ side branches, so the sample space has $3 \times 4 = 12\textsf{.}$