OCR GCSE Mathematics Probability overview quiz quiz

A bag has $5$ red, $4$ blue and $1$ green counter. Find the probability of choosing blue.

$P(\text{snow}) = 0.15$. What is $P(\text{no snow})$?

A spinner has probabilities $P(\text{red}) = 0.5$, $P(\text{blue}) = 0.3$. If only red, blue and green are possible, find $P(\text{green})$.

Two fair dice are rolled and the scores added. How many ways give a total of $5$?

$P(\text{head}) = 0.6$ for a biased coin flipped twice. What is the probability of two heads?

A bag has $4$ red and $6$ blue. Two are taken without replacement. What is $P(\text{both red})$?

Sets $A = \{2, 4, 6\}$ and $B = \{4, 5, 6, 7\}$. What is $A \cap B$?

In a class of $25$, $15$ play football, $10$ play tennis, $6$ play both. How many play neither?

A Venn diagram has $A$ only $= 7$, overlap $= 3$, $B$ only $= 5$, outside $= 5$. What is $P(A \cap B)$?

A biased die shows a six $40$ times in $160$ rolls. Estimate the probability of a six.

Using a probability of $0.25$, how many sixes are expected in $300$ rolls?

Which relative frequency estimate of a probability is most reliable?

A coin is flipped twice. What is the probability of at least one head?

What does the complement $A'$ mean in set notation?