Question

Acorn is tossed three times. An outcome is represented by a string of the sort HTT (meaning ahead on the first tos, followed by two tails). The outcomes areIsted in the table below. Note that each outcome has the same probability,Por each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event.OutcomesmiተብህቡብProbability음THTTTHTTHTHTHITHTEvent At A tail on both the first andthe last tosses$?0Event : Two or more tails0Event Ci Alternating tail and head(with either coming frst)0ContinueSubmit Assignment2022 MID CARDSign out00

Answer 1

The outcome of tossing a coin is either a head or a tail.

Looking at the given table,

Event A = A tail in both the first and last tosses = THT, TTT

Event B = Two or more tails = TTH, TTT, HTT, THT

Event C = Alternating tail and head with either coming first = TTH, THH, HTT, HTH, THT. HHT

Recall,

probability = number of favorable outcome/number of total outcomes

Total number of outcomes = 8

Probability of event A = 2/8 = 1/4

Probability of event B = 4/8 = 1/2

Probability of event C = 6/8 = 3/4