ACAP Grade 7 Statistics and Probability Practice

Statistics and Probability skills

Use random sampling to draw inferences about a population

Draw informal comparative inferences about two populations

Investigate chance processes and develop, use, and evaluate probability models

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Standards basis

Alabama Course of Study: Mathematics — Alabama

How the ACAP reports it

Alabama’s ACAP Summative is a state assessment tied to Alabama’s own K-12 mathematics standards and reporting structure rather than a national consortium blueprint. The publicly accessible assessment page does not expose a separate ACAP math blueprint in the fetched content, so the safest official coverage basis is Alabama’s mathematics standards organization into grade-level domains.

Blueprint & weighting

ACAP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Alabama Department of Education - Assessment
Alabama Office of Mathematics Improvement

8 free questions · 0/0 correct

Practice playeasy

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.

Practice playmedium

A bag contains $4$ red marbles and $6$ blue marbles. One marble is drawn at random, its color is recorded, and it is placed back in the bag. A second marble is then drawn at random. What is the probability that both marbles are red?

With replacement, each draw is independent: $P(\text{red}) = \dfrac{4}{10} = \dfrac{2}{5}$ . So $P(\text{both red}) = \dfrac{2}{5} \times \dfrac{2}{5} = \dfrac{4}{25}$ .

Practice playmedium

A school raffle has $50$ identical tickets sold. Maya buys $5$ of the tickets. One winning ticket is drawn at random. What is the probability that Maya wins?

Maya holds $5$ of the $50$ tickets, so $P(\text{Maya wins}) = \dfrac{5}{50} = \dfrac{1}{10}$ .

Practice playeasy

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 $8$ letters, and $3$ of them ( $Q, T, N$ ) are consonants, so $P = \dfrac{3}{8}$ .

Practice playeasy

The whole numbers $1$ through $30$ were each written on separate pieces of paper. Those $30$ pieces were placed in a bowl. One piece will be randomly drawn from this bowl. What is the probability that the piece will show a composite number?

Composite numbers from $1$ to $30$ exclude $1$ (neither prime nor composite) and the $10$ primes (including $2$ , the only even prime), leaving $19$ favorable outcomes: $P = \tfrac{19}{30}$ .

Practice playeasy

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

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

Practice playeasy

In a random sample of 50, 15 were defective bulbs. Estimate how many of 400 are defective in the whole population.

Proportion $= \dfrac{15}{50}$ . Estimate $= \dfrac{15}{50} \times 400 = 120$ .

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

ACAP Grade 7 Statistics and Probability. Practice it free.

Statistics and Probability skills

Use random sampling to draw inferences about a population

Draw informal comparative inferences about two populations

Investigate chance processes and develop, use, and evaluate probability models

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Topics mapped to this domain

Compound probability

Two-event compound probability word problems

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Sampling and inference

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 7 domains