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Do all please will thumb up thanks Given two fair dice, find the following: 2. The...
1. A fair coin is flipped four times. Find the probability that exactly two of the flips will turn up as heads. 2. A fair coin is flipped four times. Find the probability that at least two of the flips will turn up as heads. 3. A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was equal to 3. 4. A six-sided dice is rolled twice. Find the probability that the larger of...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
Answer part a and part b please!!! (a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the coin , then is flipped five more times with Tails appearing exactly lour times.) (b) What if the coin is biased so that the probability of landing Heads is 1/3? (Hint: The binomial distribution might be helpful here.) (a) What is the conditional...
Shandelle rolls a pair of fair dice and sums the number of spots that appear on the up faces. She then flips a fair coin the number times associated with the sum of the spots. For example, if she rolled a 3 and a 4, then she flips the fair coin 7 times. If the coin flipping part of the random experiment yielded an equal number of heads and tails, find the probability that she rolled an 8 on the...
Solve the problem. Find the odds for getting a sum of 9 when two fair dice are rolled O A. 1/12 8.5/36 OC.1/8 OD. 1/10 QUESTION 16 Provide an appropriate response. Kevin flipped a coin 50 times and got heads 30 times. He concludes that the probability of getting heads on a flip of his coin is 0.6. Which method did Kevin use? A. Subjective method OB. Theoretical method O C. Empirical method QUESTION 17 Use the least once rule...
A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was less than or equal to5 A fair coin is flipped 3 times. Find the probability that exactly 1 of the flips will turn up as heads.
1. What is the probability that the sum of two dice is 7? 2. Given that in 4 flips of a fair coin there are at least two "heads", what is the probability that there are two "tails"?
Example Consider the following dice game. A pair of standard ( fair ) dice are repeatedly rolled. If a ’ 7 ’ comes up before an ’ 11 ’ , then the player wins, otherwise the player loses. Let W be the event that the player wins. Find P(W). To say the dice are fair is equivalent to assuming that Laplace’s rule holds and the 36 possible outcomes for a throw of the dice are equally likely. For convenience, an...
-3 points Suppose we have a fair coin that is equally likely to come up heads or tails (a) The coin is flipped 3 times. How many ways can we get exactly 1 head? (b) The coin is flipped 5 times. How many ways can we get exactly 2 tails? (c) The coin is flipped 4 times. How many ways can we get at least 3 tails?
Problem 4. A fair coin is tossed consecutively 3 times. Find the conditional probability P(A | B), where the events A and B are defined as A-(more heads than tails came upl, B-(1st toss is a head) 1St toss is a head Problem 5. Consider rolling a pair of dice once. What is the probability of getting 7, given that the sum of the faces is an odd number?