Foundation
16 web questions
- List the two possible outcomes when a fair coin is tossed.
- A fair die is rolled. Write the possible scores.
- A spinner has red, blue, green, and yellow sectors. List the possible colours.
- A bag contains only black and white counters. Name the possible colours you could pick.
- Which is more likely on a fair coin: heads or tails?
- Which is impossible on a standard die: rolling $4$ or rolling $8$?
- Which is certain on a standard die: rolling a number less than $7$ or rolling a $9$?
- Write the probability of getting heads on a fair coin as a fraction.
- Write the probability of rolling a $6$ on a fair die as a fraction.
- Write the probability of rolling an even number on a fair die as a fraction.
- A spinner has $3$ equal sectors labelled $A$, $B$, and $C$. What is the probability of landing on $B$?
- A bag has $5$ counters: $2$ red and $3$ blue. What colour is more likely to be picked?
- Is rolling a $7$ on a standard die possible, impossible, or certain?
- Is getting either heads or tails on one coin toss possible, impossible, or certain?
- Which is more likely on a fair die: rolling an odd number or rolling a $6$?
- Fill in the blank: the sample space for a fair coin is $\{\square,\square\}$.
Proficient
18 web questions
- List the sample space for tossing two coins.
- How many outcomes are in the sample space for tossing two coins?
- Write the probability of getting exactly one head when two fair coins are tossed.
- Write the probability of getting two tails when two fair coins are tossed.
- A fair die is rolled. What is the probability of getting a factor of $6$?
- A fair die is rolled. What is the probability of getting a multiple of $3$?
- A spinner has $5$ equal sectors labelled $1,2,3,4,5$. What is the probability of landing on a prime number?
- A bag has $8$ counters: $3$ red, $2$ blue, and $3$ green. What is the probability of picking a blue counter?
- A standard deck card is chosen. What is the probability that the card is a heart?
- A standard deck card is chosen. What is the probability that the card is black?
- Which is more likely: rolling a number greater than $4$ on a die or picking a blue counter from a bag with $1$ blue and $3$ red counters?
- Which is more likely: drawing a heart from a deck or getting heads on a fair coin?
- Fill in the blank: the probability of rolling a number less than $3$ on a fair die is $/6$.
- Fill in the blank: if a fair spinner has $6$ equal sectors and $2$ are shaded, the probability of landing on shaded is $/6$.
- A student says the probability of rolling an even number on a fair die is $\frac{2}{6}$. Are they correct?
- A student says picking red from a bag with $4$ red and $1$ blue counter is impossible. Are they correct?
- Explain in one short sentence what sample space means.
- Explain in one short sentence why heads and tails are equally likely on a fair coin.
Excellence
18 web questions
- A student says there are $3$ outcomes when two coins are tossed because the answers are heads, tails, or one of each. Are they correct? Explain.
- A student says the probability of drawing a red card from a standard deck is $\frac{1}{4}$. Are they correct? Explain.
- List the sample space for tossing a coin and rolling a die.
- How many outcomes are in the sample space for tossing a coin and rolling a die?
- What is the probability of getting heads and a $5$ when a coin is tossed and a die is rolled?
- What is the probability of getting tails and an even number when a coin is tossed and a die is rolled?
- A spinner has $8$ equal sectors. $3$ are red, $3$ are blue, and $2$ are yellow. What is the probability of not landing on yellow?
- A bag contains $2$ red, $5$ blue, and $3$ green counters. What is the probability of picking red or green?
- A standard deck card is chosen. What is the probability of drawing a face card?
- A standard deck card is chosen. What is the probability of drawing a red king?
- Which is greater: the probability of rolling a number less than $5$ on a die or the probability of drawing a club from a deck? Show enough working to justify.
- Which is smaller: the probability of exactly one head in two coin tosses or the probability of drawing a heart from a deck? Explain.
- Fill in the blank: when two fair coins are tossed, the probability of at least one head is $/4$.
- Fill in the blank: when a coin is tossed and a die is rolled, the probability of getting tails and a factor of $6$ is $/12$.
- Which does not belong: impossible, certain, equally likely, rectangle? Explain.
- A game uses a fair spinner with equal sectors numbered $1$ to $10$. Is landing on a number greater than $7$ more or less likely than landing on an odd number? Explain.
- A bag has $6$ counters, all green. What is the probability of picking green? What is the probability of picking red?
- Explain why the total probability of all outcomes in a sample space is $1$.