The Probability of selecting a fair coin= 64/65
The Probability of getting 6 heads in a row with the fair coin= (1/2)^6= 1/64
The Probability of selecting the unfair 2-headed coin= 1/65
Probability of getting 6 heads in a row with the 2-headed coin= 1
If a coin, chosen at random from the bag and then tossed, turns up heads 6 times in a row, the probability that it is the two-headed coin(P (B/A))
= [(1/65)*1] / [{(64/65)*(1/64)}+{(1/65)*1}]
= (1/65)/(2/65)
= 1/2
Hence OPTION (E)[b]
One coin in a collection of 65 has two heads. The rest are fair. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row, what is the probability that it is the two-headed coin? Print
Modified on: Tue, 12 Oct, 2021 at 3:55 PM
Did you find it helpful? Yes No
Send feedbackSorry we couldn't be helpful. Help us improve this article with your feedback.