Probability

If a coin is tossed $500$ times, approximately how many times would you expect it to land on heads?

A spinner has sectors colored Red, Green, and Blue. If $P(Red) = 0.4$ and $P(Green) = 0.35$, what is $P(Blue)$?

A fair six-sided die is rolled. What is the probability of rolling a number that is at most $4$?

A box contains $100$ light bulbs, and $2$ are broken. If you pick one bulb, replace it, and pick another, what is the probability that BOTH are broken?

If you have a path with probabilities $\frac{1}{4}$ and $\frac{1}{4}$, what is the probability of that outcome?

A tree diagram has branches for 'Choice A' and 'Choice B'. If $P(A) = x$ and $P(B) = 0.62$, what is $x$?

If $n(\mathcal{E}) = 50$, $n(A) = 30$, $n(B) = 25$, and $n(A \cap B) = 10$, what is the number of elements in $(A \cup B)'$?

If $P(A) = 0.4$, $P(B) = 0.5$, and $P(A \cup B) = 0.7$, what is $P(A \cap B)$?

In a Venn diagram, the region $A \cap B'$ is the same as: