Ask Question
12 August, 18:10

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

You select one card at random from the deck. Let A be the event that the randomly selected card is a diamond and let B be the event that the card is a king. Based on this information, answer the following questions.

1) What is P (A|B), the conditional probability that the card is a diamond given that it is a king?

2) Are the events A and B independent?

+4
Answers (1)
  1. 12 August, 18:19
    0
    1) ¼

    2) yes

    Step-by-step explanation:

    1) P (A) = 13/52 = 1/4

    P (B) = 4/52 = 1/13

    P (A^B) = 1/52

    P (A|B) = (1/52) : (1/13) = 1/4

    Since P (A|B) = P (A), they are independent
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each suit ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers