6. A woman possesses five coins, two of which are double-headed,one is double-ta

ID: 2954265 • Letter: 6

Question

6. A woman possesses five coins, two of which are double-headed,one is double-tailed,

and two are normal. She shuts her eyes, picks a coin at random, andtosses it. After opening

her eyes she observes that the upper face is heads. What is theprobability that the lower face

is heads?

(a) 1/3

(b) 2/5

(d) 2/3

7. In the situation of Task 1, and after observingthat the upper face is heads on the first

toss, the woman shuts her eyes and tosses the coin again. What isthe conditional probability

that the lower face is heads on the second toss?

(a) 2/3

(b) 1/3

(d) 1/4

8. In the setup of Task 2 the woman observes uponopening her eyes that the second

coin toss resulted in the upper face being heads. What is theconditional probability that the

lower face is heads now?

(a) 4/5

(b) 2/3

(d) 5/6

6) 1/3 ( as the question asks about probability ofchoosing the double-headed coin) 7) 1/3 (for the same reason as above) 8)1/3 (for the same reason)

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