What is the probability, p(A|B), where A is the roll of a “3” or a “4” on a fair die and B is the probability of tossing two heads in a row with a fair coin? It is assumed the rolls of the die and the tosses of the coins are independent. Provide your answer as a reduced fraction.
What is the probability, p(A|B), where A is the roll of a “3” or a “4”...
Alice has two coins. The probability of Heads for the first coin is 1/4, and the probability of Heads for the second is 3/4. Other than this difference, the coins are indistinguishable. Alice chooses one of the coins at random and sends it to Bob. The random selection used by Alice to pick the coin to send to Bob is such that the first coin has a probability p of being selected. Assume that 0<p<1. Bob tries to guess which...
What is the probability of getting 3 sevens in a row on 3 independent rolls of a pair of fair dice, given that the first two rolls were sevens? Provide your answer as a reduced fraction.
A defective coin minting machine produces coins whose probability of heads is a random variable P with PDF peP, p [0,1], otherwise fp(p) A coin produced by this machine is selected and tossed repeatedly, with successive tosses assumed independent. (a) Find the probability that a coin toss results in heads. (b) Given that a coin toss resulted in heads, find the conditional PDF of P (c) Given that a first coin toss resulted in heads, find the conditional probability of...
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [O, j]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions. (a) Compute the probability that the first roll is 6. b) Compute the probability that the first two rolls are both 6. (c) Let Si be...
1. Amy rolls a 6-sided die 10 times. What is the probability that 3 specified rolls are 6s and none of the others is an 6? answer 0.0013 2. Amy tosses 90000 biased coins. Each coin comes up heads with probability 0.7. What is the probability that exactly 4 of the last 9 coins come up heads? answer 0.0735 3. Amy rolls a 6-sided die 20000 times. What is the probability that exactly 4 of the last 12 rolls are...
You roll a 6-sided die. What is the probability that you will roll either a 3 or a 2? P (3 or 2) = You flip a 2-sided coin. What is the probability that you will get either heads or tails? P (heads or tails) =
1. If I roll a 4 sided die followed by flipping a coin, what is the probability that I roll an even number followed by getting heads? **I know the coin is (1/2), but what about the die? 2. If the probability Mr. Hansen makes a three point shot is 10%. What is the probability that Mr. Hansen misses two, three point shots in a row?
You are tossing three fair coins and rolling one fair die, find the probability of getting a. two heads on the three coins b. rolling an even number on the die c. getting two heads on the coins and an even number on the die d. getting two heads on the coins or an even number on the die
If you flip a coin and roll a die at the same time, what is
the probability of rolling a 5 or 6 and the coin showing
heads?
Question 3 Unanswered If you flip a coin and roll a die at the same time, what is the probability of rolling a 5 or 6 and the coin showing heads? (answer to 4 decimal places) Type your response
A fair coin is tossed 6 times. A) What is the probability of tossing a tail on the 6th toss given the preceding 5 tosses were heads? B) What is the probability of getting either 6 heads or 6 tails?