16. Consider a standard deck of cards. I will select one card from the deck. Wha

Question

16. Consider a standard deck of cards. I will select one card from the deck. What is the probability that it is a red face card? (We can find this probability by finding “number of successes divided by number of possibilities.” However, let’s find it by considering the two events “card is red” and “card is a face card”.) Mutually exclusive? _______ Independent? _______
16. Consider a standard deck of cards. I will select one card from the deck. What is the probability that it is a red face card? (We can find this probability by finding “number of successes divided by number of possibilities.” However, let’s find it by considering the two events “card is red” and “card is a face card”.) Mutually exclusive? _______ Independent? _______
16. Consider a standard deck of cards. I will select one card from the deck. What is the probability that it is a red face card? (We can find this probability by finding “number of successes divided by number of possibilities.” However, let’s find it by considering the two events “card is red” and “card is a face card”.) Mutually exclusive? _______ Independent? _______

Explanation / Answer

6 red face cards are there in a pack of cards:

Jack of Hearts, Jack of Diamonds, Queen of Diamonds, Queen of Hearts, King of Hearts, King of Diamond

hence

6/52 = 3/26

P(red) = 1/2

P(face card) = 12/52

P(red) * P(face card) = 1/2 *12/52 =6/52 = 3/26 = P(red face card)

hence independent , not mutually exclusive

Please rate

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.