Question

There are X, Y and Z coins in a box. X is a fair coin; Y...

There are X, Y and Z coins in a box. X is a fair coin; Y is a coin with tail on both sides and Z is a coin with a probability of 2/5 of the head. Let's imagine we pulled a random coin out of the box. Since it is known that it is tail, what is the probability that this money will be X?

A. 1/3

B. 7/10

C. 5/21

D. 3/5

Homework Answers

Answer #1

X is a fair coin

Let px = P(getting a tail on X)

      px = 1/2              (1 out of 2 options head or tail)

Y has tail on both sides

Let py = P(getting a tail on Y)

      py = 1                 (2 out of 2 options which are tail)

Z has a probability of 2/5 as head

Let pz = P(getting a tail on Z)

      pz = 1 - 2/5 = 3/5

Probaility of picking any coin = 1/3

Thus

pt = probability of getting a tail

To find P(coin is X given that it is a tail)

= P(coin is X | it is a tail)

= P(coin is X and it is a tail) / P(it is a tail)

= (1/3*px) / pt

Answer :

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
There are 5 coins in a box. 3 of them are fair coins; 2 of them...
There are 5 coins in a box. 3 of them are fair coins; 2 of them are unfair coins whose probability to get a head is 70%. You pick a coin at random and toss it, and get a head. Calculate the probability that you picked an unfair coin.
A magician has 20 coins in his pocket. Twelve of these coins are normal fair coins...
A magician has 20 coins in his pocket. Twelve of these coins are normal fair coins (with one head and one tail) and eight are defective coins with heads on both sides. The magician randomly draws a coin from his pocket and flips it. Given that the flipped coin shows a head, what is the probability that it is defective? Select one: 4/7 8/20 1 1/2
suppose a box contains three coins. two are fair and one is a coin with two...
suppose a box contains three coins. two are fair and one is a coin with two tails. a coin is randomly selected from the box and tossed once. a) what is the probability that the result of the toss is a tail? b) Given the result of the toss is a tail, what is the probability that the selected coin is the one with two tail?
4. (5pts) You have three coins A, B, andC. The coin A is fair. The probability...
4. (5pts) You have three coins A, B, andC. The coin A is fair. The probability that a head willshowwhenB istossedis 2 3,whileitis 1 3 inthecaseofthecoinC. Acoinischosenat random and tossed 3 times giving 2 heads and 1 tail. Find the probability that the coin A waschosen. Could you provide me the detailed process of this question. And what formula you are using for?
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A two-headed coin: ?(?)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the coin, the two tosses are independent. Define the following events: Event ? : first coin toss is ? . Event ? : second coin toss is ? . Event ? : two coin...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A...
Suppose that we have a box that contains two coins: A fair coin: ?(?)=?(?)=0.5 . A two-headed coin: ?(?)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the coin, the two tosses are independent. Define the following events: Event ? : first coin toss is ? . Event ? : second coin toss is ? . Event ? : two coin...
The are 100 coins, 40 of them fair and 60 of the biased. A fair con...
The are 100 coins, 40 of them fair and 60 of the biased. A fair con lands head with probability 1/2 and a biased coin lands head with probability 2/3. (a) If you choose a coin at random what is the probability that it lands head? (b) If a randomly selected coin lands head then what is the probability that it is a biased coin?
Donald has in his pocket three coins: two fair coins and a two-headed coin. He selects...
Donald has in his pocket three coins: two fair coins and a two-headed coin. He selects one of the coins at random; when he tosses it, it shows head. What is the probability that the selected coin is a two-headed coin? Select one: a. 0.5 b. 0.75 c. 0.25 d. 0.333
An experiment consists of tossing 5 fair​ (not weighted)​ coins, except one of the 5 coins...
An experiment consists of tossing 5 fair​ (not weighted)​ coins, except one of the 5 coins has a head on both sides. Compute the probability of obtaining exactly 4 heads.
Consider an experiment of tossing two coins three times. Coin A is fair but coin B...
Consider an experiment of tossing two coins three times. Coin A is fair but coin B is not with P(H)= 1/4 and P(T)= 3/4. Consider a bivariate random variable (X,Y) where X denotes the number of heads resulting from coin A and Y denotes the number of heads resulting from coin B. (a) Find the range of (X,Y) (b) Find the joint probability mass function of (X,Y). (c) Find P(X=Y), P(X>Y), P(X+Y<=4). (d) Find the marginal distributions of X and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT