Question

simon rolls a number cube and picks a card from a standard deck. let event e be rolling an even number and event k be picking a king from the deck. match each notation to its meaning. p(e n k) the probability of rolling an even number p(k u e) the probability of picking a king p(k) the probability of picking a king or rolling an even number p(e) the probability of rolling an even number and picking a king

Explanation:

• In probability, the symbol $\cap$ represents the intersection (and) of two events. So, $P(E\cap K)$ means the probability of both event $E$ (rolling an even number) and event $K$ (picking a king) occurring.
• The symbol $\cup$ represents the union (or) of two events. Thus, $P(K\cup E)$ is the probability of either event $K$ (picking a king) or event $E$ (rolling an even number) or both occurring.
• $P(K)$ is simply the probability of event $K$ (picking a king) happening on its own.
• $P(E)$ is the probability of event $E$ (rolling an even number) taking place independently.

Answer:

• $P(E\cap K)$: the probability of rolling an even number and picking a king
• $P(K\cup E)$: the probability of picking a king or rolling an even number
• $P(K)$: the probability of picking a king
• $P(E)$: the probability of rolling an even number