A coin is tossed, what is the probability that two consecutive
heads or two consecutive tails occur in at most
four tosses? Draw a tree diagram first.
In the given tree diagram, i have tick out
the outcomes having two consecutive tails or two consecutive
heads.and the total number of outcomes having two consecutive heads
or tails is 14 so,
Required probability= 14/16= 7/8=0.875
A coin is tossed, what is the probability that two consecutive heads or two consecutive tails...
3. A coin is tossed, what is the probability that two consecutive heads or two consecutive tails occur in at most four tosses? Draw a tree diagram first. (6 points)
A coin is tossed; if it falls on heads up, it is tossed again. If it falls tails up, a die is rolled. Draw a tree diagram and determine the outcomes.
Given 5 consecutive tosses of a fair coin, what is the probability of getting three tails in a row, followed by two consecutive heads? 4.
17. A fair coin is tossed until either one Heads or four Tails are obtained. What is the expected number of tosses? [6 points]
Suppose that a coin with probability 0.7 of heads is tossed 100 times. Let X be the number of heads obtained. What is the probability of obtaining a streak of at least 15 consecutive heads in the 100 tosses?
A biased coin is tossed n times. The probability of heads is p and the probability of tails is q and p=2q. Choose all correct statements. This is an example of a Bernoulli trial n-n-1-1-(k-1) p'q =np(p + q)n-1 = np f n- 150, then EX), the expected value of X, is 100 where X is the number of heads in n coin tosses. f the function X is defined to be the number of heads in n coin tosses,...
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?
The probability of getting heads from throwing a fair coin is 1/2 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur? 1/4 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a head? 3/8 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a tail? 1/8 The...
A fair coin is tossed until heads appears four times. a) Find the probability that it took exactly 10 flips. b) Find the probability that it took at least10 flips. c) Let Y be the number of tails that occur. Find the pmf of Y.
Suppose that a coin is tossed three times. We assume that a coin is fair, so that the heads and tails are equally likely. Probability that two heads are obtained in three tosses given that at least one head is obtained in three tosses is ___________ Probability that that one head is obtained in three tosses given that at most one head is obtained in three tosses is ____________ at least one means one or more, at most one means...