a coin with probability p of coming up heads is flipped three times (the flips a

Question

a coin with probability p of coming up heads is flipped three times (the flips are independent).

What is the probability of getting at least two heads given there is at least one head?

What is the probability of getting at least one head given there are at least two heads?

3. (2.3) a coin with probability p of coming up heads is flipped three times (the flips are independent) What is the probability of getting at least two heads given there is at least one head? What is the probability of getting at least one head given there are at least two heads? a. b.

Explanation / Answer

Ans:

a)P(H)=p

P(T)=1-p

P(at least 2 heads)=pp(1-p)+ppp=p2(1-p)+p3

P(atleast 1 head)=p(1-p)2+p2(1-p)+p3

P(A/B)=P(A and B)/P(B)

a)P(atleast two head/atleast one head)=[p2(1-p)+p3]/[p(1-p)2+p2(1-p)+p3]

b)P(at least one head/atleast two heads]=p2(1-p)+p3/p2(1-p)+p3=1

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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