1. You pick three cards at random from a standard deck of 52 cards. This is done

Question

1. You pick three cards at random from a standard deck of 52 cards. This is done twice, once with replacement and once without replacement. Find the probability of each event described below. Give your answers to three decimal places Your cards are all black (that is, all spades or clubs). With replacement: a. Without replacement: b. You get all hearts. With replacement: Without replacement: You get no hearts. With replacement: c. Without replacement: d. You get all picture cards. With replacement: Without replacement:

Explanation / Answer

a

1.P(All black cards with replacement) = (26/52)*(26/52)*(26/52)=1/8=0.125

2.P(All black cards without replacement) = (26/52)*(25/51)*(24/50)=0.118

b

1.P(All hearts cards with replacement) = (13/52)*(13/52)*(13/52)=0.016

2.P(All Hearts cards without replacement) = (13/52)*(12/51)*(11/50)=0.013

c

1.P(All no hearts cards with replacement) = (39/52)*(39/52)*(39/52)=0.422

2.P(All no Hearts cards without replacement) = (39/52)*(38/51)*(37/50)=0.413

d.

1.P(All picture cards with replacement) = (12/52)*(12/52)*(12/52)=0.012

2.P(All picture cards without replacement) = (12/52)*(11/51)*(10/50)=0.009

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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