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(k ∪ e) p(k) p(e) p(e ∩ k) the probability of picking a king the probability of picking a king or rolling an even number the probability of rolling an even number the probability of rolling an even number and picking a king

Explanation:

• \( P(K \cup E) \): The union symbol \( \cup \) means "or" in probability, so this is the probability of picking a king or rolling an even number.
• \( P(K) \): This is the probability of event \( K \) (picking a king) occurring.
• \( P(E) \): This is the probability of event \( E \) (rolling an even number) occurring.
• \( P(E \cap K) \): The intersection symbol \( \cap \) means "and" in probability, so this is the probability of rolling an even number and picking a king.

Answer:

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