1. If a single card is drawn from a standard 52-card deck, what is the probabili

Question

1. If a single card is drawn from a standard 52-card deck, what is the probability that it is neither a King nor a club? 2. A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds for the cube showing and odd number? 3. Select 8 cards with replacement from a standard 52-card deck and observe wheter a ten is drawn. Determine whether this experiment is a binomial experiment. If not, explain what property of a binomial experiment fails. 4. There are 5 people in a club -- Cal, Elissa, Stephanie, Ken, and Pat. In how many ways can a President and a Treasurer be chosen for the club? (No person can hold both positions).

Explanation / Answer

1. There are 13 clubs, including the K of clubs, and 3 other kings, so this is a total of 16 cards. Then, the probability of selecting a club or K is 16/52 = 4/13, so the probability of not selecting this is 1 - 4/13 = 9/13 2. 3 of the 6, 1, 3, and 5, are odd, so the probability of selecting an odd is 3/6 = 1/2 3. The key thing here is that we are sampling with replacement. This means it is binomial 4 of 52 cards are 10s, so the probability of selecting a 10 is 4/52 = 1/13 Then, the number of 10s drawn in 8 selections is B(8,1/13) 4. 5 can be chosen as president, and the 4 not selected president can be selected treasurer. Thus, there are 5*4 = 20 ways to select the president and treasurer.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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