Draw a tree diagram to display all the possible outcomes that can occur when you

ID: 3209416 • Letter: D

Question

Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. How many outcomes contain a head and a number greater than 4? Probability extension: Assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 4 when you flip a coin and toss a die? () Consider the following. Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with five possible responses. (Do this on paper. Your instructor may ask you to turn in this work.) Probability extension: Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all three correct answers? (Round your answer to five decimal places.)

Explanation / Answer

Given,

a coin is flipped followed by a die is rolled

the outcomes are

coin={H,T}

Die={1,2,3,4,5,6}

hence the tree diagram is given in option 2

A.b) we have a total of 12 outcomes in this scenario

we have 6 outcomes of having a head in flip of a coin

a number greater than 4 implies occurrence of {5,6}

hence the total outcomes are 2 i.e, {H,5} and {H,6}

A.c) total outcomes are 12

outcomes for head and number greater than 4 are 2 occurrences

hence probability is 2/12 or 0.167