Given a regular 52-card deck, what is the probability of getting a 5-card hand w

Question

Given a regular 52-card deck, what is the probability of getting a 5-card hand with 5) all clubs? (There are 13 clubs in a deck.) 6) four jacks? (There are 4 jacks in a deck.) 7) What is the probability that you draw a 3, then a 4, and then a 5, without replacement, from a regular 52-card deck? 8) The following data represents the number of goals scored each year by Mia Hamm over her 18-year career: Leaf 000124789 00033389 0 Stem 0 2 Find the percentage of data within the "average" range. If the probability that a man is alive after 70 years is 2/3, and the probability that his wife is alive after 70 years is 3/4, what is the probability that after 70 years, 9) at least one of them is alivei? 10) only the woman is alive?

Explanation / Answer

Ans:

5)P(all clubs)=(13/52)*(12/51)*(11/50)*(10/49)*(9/48)=0.000495

6)P(4 jacks)=4C4*48C1/52C5=48/2598960=0.0000185

7)There are 4 3's,4 4's ,4 5's in 52 card deck.

Probability of drawing 3,4,5 without replacement=(4/52)*(4/51)*(4/50)=0.000483

9)P(atleast one of them is alive)=1-P(none is alive)=1-(1-2/3)*(1-3/4)=1-(1/3)*(1/4)=1-(1/12)=11/12

10)P(only women is alive)=(1-2/3)*(3/4)=(1/3)*(3/4)=1/4=0.25

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

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