Question

You toss two balanced coins independently. Let A be the event head on the first toss...

You toss two balanced coins independently. Let A be the event head on the first toss and let B be the event both tosses have the same outcome. Compute P(A), P(B), P(B|A). Are A,B independent? Explain.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We toss a fair coin twice, define A ={the first toss is head}, B ={the second...
We toss a fair coin twice, define A ={the first toss is head}, B ={the second toss is tail}, and C={the two tosses have different outcomes}. Show that events A, B, and C are pairwise independent but not mutually independent.
We tossed three balanced coins and listed the events as: Event A: tail appears on the...
We tossed three balanced coins and listed the events as: Event A: tail appears on the second coin. Event B: all three coins have the same outcome. ------ Are events A and B independent? Show the detail probability calculation to proof whether events A and B are independent or not?
Toss a fair coin twice. Let A be the event "At least one Head" and B...
Toss a fair coin twice. Let A be the event "At least one Head" and B be the event "At least one Tail". Which of the following is true? A A and B are independent B A and B are disjoint C The probability of their intersection is P(A)P(B) D P(A/B)=P(B/A)
Alice and Bob have 9 coins, each with probability of a head equal to p =...
Alice and Bob have 9 coins, each with probability of a head equal to p = .6. Bob tosses 5 coins, while Alice tosses the remaining 4 coins. Assuming that all tosses are independent, compute the probability that Bob gets more heads than Alice.
A volunteer from a group of three individuals is be chosen by having each toss a...
A volunteer from a group of three individuals is be chosen by having each toss a coin with probability of head α. The individual with the unique outcome is chosen. If the three tosses result in the same outcome, then the three individuals toss their coins again, and the process continues until a volunteer is chosen. a) Let q denote the probability of a unique outcome in a given trial. Find q？ b) Let N denote the number of trials...
(a) A fair coin is tossed five times. Let E be the event that an odd...
(a) A fair coin is tossed five times. Let E be the event that an odd number of tails occurs, and let F be the event that the first toss is tails. Are E and F independent? (b) A fair coin is tossed twice. Let E be the event that the first toss is heads, let F be the event that the second toss is tails, and let G be the event that the tosses result in exactly one heads...
5. If you toss a coin 10 times, you got 8 head out of ten tosses....
5. If you toss a coin 10 times, you got 8 head out of ten tosses. What is the probability of this event if the coin is fair (P[X=8|Coin=normal], X is a random variable representing number of head out of ten tosses)? What is the probability of this event if the coin is fake( P[X=8|Coin=fake])?
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...
Suppose you toss three fair coins independently and X is the number of tails on each...
Suppose you toss three fair coins independently and X is the number of tails on each toss. (a) Determine the probability mass function of X. (b) Define W = |2−X|. Determine the probability mass function of W.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT