Mathematics

Ezekiel Love

1 July, 06:39

Sherry has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 - 10, a jack, a queen, a king, and an ace.

Sherry randomly selects a card. Let A be the event that the card is a king and B be the event that it is a 3.

Which of the following statements are true?

Choose all answers that apply:

P (A | B) = P (A), the conditional probability that Sherry selects a king given that she has chosen a 3 is equal to the probability that Sherry selects a king.

P (B | A) = P (B), the conditional probability that Sherry selects a 3 given that she has chosen a king is equal to the probability that Sherry selects a 3.

Events A and B are independent events.

The outcomes of events A and B are dependent on each other.

P (A and B) = P (A) •P (B)