A fair coin is tossed 12 times. Which of the following outcomes (i, ii, iii, or iv) is most likely?(i) H T H T H T H T H T H T(ii) H T T H H T T H T H H T(iii) H H H H H H H H H H H H(iv) T T T H T H H H H T H H (i) because there are an equal number of heads and tails. (ii) because there are an equal number of heads and tails but in a random order (iii) because heads are just as likely as tails (iv) because you won’t necessarily get the same number of heads and tails with a fair coin They are all equally likely.

A fair die is rolled 12 times. Consider the following four possible outcomes:(i) 5 2 6 3 2 1 4 1 6 5 3 4(ii) 1 1 2 2 3 3 4 4 5 5 6 6(iii) 6 6 6 6 6 6 6 6 6 6 6 6(iv) 1 5 4 3 5 1 2 4 4 6 4 5Which of the following is the most likely outcome: (i), (ii), (iii), (iv)? (i) because number of die outcomes (1, 2, 3, 4, 5, 6) is equal but in a random order. (ii) because the number of die outcomes (1, 2, 3, 4, 5, 6) is equal. (iii) because the number 6 is just as likely as any other number on a die. (iv) because you won’t necessarily get the same number of of die outcomes (1, 2, 3, 4, 5, 6) with a fair die. They are all equally likely.

wo unbiased coins are tossed simultaneously . Find the probability of getting(I)no heads, (ii)at most one tail(Iii)One tail (iv) one head and one tail

A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Outcomes ProbabilityHHT HTH HTT HHH THH TTH THT TTTEvent A: Alternating head and tail (with either coming first) Event B: More heads than tails Event C: A tail on the second toss

A coin is tossed 13 times.a)   How many different outcomes are possible?b)  How many different outcomes have exactly 9 heads?c)   How many different outcomes have at least 2 heads ?d)   How many different outcomes have at most 9 heads?

A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails).The 8 outcomes are listed below. Assume that each outcome has the same probability.Complete the following. Write your answers as fractions.