F/T

Write each probability as favourable outcomes over total outcomes.

All objectives

Foundation

16 web questions

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  1. Write the probability of getting heads on a fair coin in F/T form.
  2. Write the probability of getting tails on a fair coin in F/T form.
  3. Write the probability of rolling a $6$ on a fair die in F/T form.
  4. Write the probability of rolling an even number on a fair die in F/T form.
  5. Write the probability of rolling a number less than $3$ on a fair die in F/T form.
  6. Write the probability of choosing a red counter from a bag with $3$ red and $2$ blue counters in F/T form.
  7. Write the probability of choosing a blue counter from a bag with $4$ green and $1$ blue counter in F/T form.
  8. Write the probability of landing on $A$ from a fair spinner with equal sectors labelled $A$, $B$, $C$, and $D$.
  9. Write the probability of landing on a vowel from a fair spinner labelled $A$, $B$, $C$, $D$, $E$.
  10. There are $10$ marbles and $7$ are yellow. Write the probability of picking yellow in F/T form.
  11. There are $8$ cards and $2$ are stars. Write the probability of picking a star in F/T form.
  12. Fill in the blank: for a fair die, $P(odd)=\frac{\square}{6}$.
  13. Fill in the blank: for one coin toss, $P(heads)=\frac{1}{\square}$.
  14. Which is greater: $P(rolling 1)$ or $P(rolling an even number)$ on a fair die?
  15. Which is smaller: $P(heads)$ on a fair coin or $P(rolling 5)$ on a fair die?
  16. A student says the probability of rolling a number less than $7$ on a fair die is $\frac{7}{6}$. Are they correct?

Proficient

18 web questions

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  1. Write the probability of rolling a factor of $12$ on a fair die in F/T form.
  2. Write the probability of rolling a multiple of $2$ on a fair die in F/T form.
  3. Write the probability of choosing a consonant from cards labelled $A$, $E$, $I$, $O$, $U$, $M$, $N$, $P$.
  4. Write the probability of picking a prime number from a fair spinner labelled $1,2,3,4,5,6$.
  5. A bag has $5$ red, $3$ blue, and $4$ green counters. Write the probability of picking blue in F/T form.
  6. A bag has $2$ yellow, $2$ black, and $6$ white counters. Write the probability of not picking white in F/T form.
  7. A standard deck card is chosen. Write the probability of drawing a heart in F/T form.
  8. A standard deck card is chosen. Write the probability of drawing a face card in F/T form.
  9. Two coins are tossed. Write the probability of getting exactly one head in F/T form.
  10. Two coins are tossed. Write the probability of getting two tails in F/T form.
  11. A fair die is rolled. Write the probability of getting a number greater than $4$ in F/T form.
  12. A fair die is rolled. Write the probability of not getting a multiple of $3$ in F/T form.
  13. Fill in the blank: if an event has $3$ favourable outcomes out of $8$ total outcomes, then $P(event)=\frac{\square}{\square}$.
  14. Fill in the blank: for a fair spinner with $10$ equal sectors, if $4$ sectors are shaded then $P(shaded)=\frac{\square}{10}$.
  15. Which is greater: the probability of drawing a black card from a standard deck or the probability of rolling an odd number on a fair die?
  16. Which is smaller: the probability of exactly one head in two coin tosses or the probability of drawing a king from a standard deck?
  17. A student says $P(prime on a fair die)=\frac{4}{6}$. Are they correct?
  18. Explain in one short sentence what the $T$ stands for in F/T.

Excellence

18 web questions

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  1. A student says $P(not even on a fair die)=\frac{2}{6}$. Are they correct? Explain.
  2. A student says $P(at least one head in two coin tosses)=\frac{2}{4}$. Are they correct? Explain.
  3. A fair die is rolled. Write $P(prime)$ in F/T form and simplify it.
  4. A fair die is rolled. Write $P(factor of 6)$ in F/T form and simplify it.
  5. A bag has $4$ red, $5$ blue, and $3$ green counters. Write the probability of red or green in F/T form.
  6. A bag has $2$ gold, $7$ silver, and $1$ bronze token. Write the probability of not picking silver in F/T form.
  7. A standard deck card is chosen. Write the probability of drawing a red king in F/T form.
  8. A standard deck card is chosen. Write the probability of drawing a non-face card in F/T form.
  9. A fair spinner has equal sectors labelled $1$ to $8$. Write the probability of landing on a factor of $8$ in F/T form.
  10. A fair spinner has equal sectors labelled $1$ to $10$. Write the probability of landing on a multiple of $3$ in F/T form.
  11. A coin is tossed and a fair die is rolled. Write the probability of getting heads and a $5$ in F/T form.
  12. A coin is tossed and a fair die is rolled. Write the probability of getting tails and an even number in F/T form.
  13. Fill in the blank: if $P(event)=\frac{5}{12}$, then the number of favourable outcomes could be when the total outcomes are $12$.
  14. Fill in the blank: if a bag has $9$ counters and $P(red)=\frac{2}{9}$, then there are red counters.
  15. Which is greater: $P(rolling a number less than 5)$ on a fair die or $P(drawing a club)$ from a standard deck? Show enough working to justify.
  16. Which is smaller: $P(factor of 12)$ on a fair die or $P(exactly one head)$ in two coin tosses? Explain.
  17. Which does not belong: $\frac{1}{2}$, $\frac{3}{6}$, $\frac{2}{4}$, $\frac{2}{3}$?
  18. Explain why an F/T probability can never be greater than $1$.