MATHEMATICS COLLEGE

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Sample Space: Tutorial

Activity

In this exercise, you'll use the formula for the probability of the complement of an event.

Another game you've set up at casino night involves rolling a fair six-sided die followed by tossing a fair coin. In this game, players earn points

depending on the number they get on the die and which side of the coin turns up. For example, the player earns 5 points for getting (2, tails).

Question 1

Find the total number of possible outcomes in each trial of this game.

Answers

Answer 1

Answer:

Answer:

The number of possible outcomes in each trial of this game is 12

Step-by-step explanation:

Given

Rolling of a 6 sided die followed by tossing of a fair coin

Required

Number of possible outcomes

The first step is to list out the possible outcomes of rolling a die and tossing a coin

Rolling a fair die = {1,2,3,4,5,6}

Tossing a coin = {Head, Tail}

Let Head be represented by H and Tail be represented by T;

So,

Rolling a fair die = {1,2,3,4,5,6}

Tossing a coin = {H, T}

The question states that a roll of a 6 sided die is followed by a toss of a fair coin

This means that each trial is {A roll of die and A toss of coin}

So, the sample space is as follows

Sample Space = {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}

Number of outcomes in the sample space is 12.

Hence, the number of possible outcomes in each trial of this game is 12

Answer 2

Answer:

Answer:

the total number of possible outcomes in each trial of this game is 12

Step-by-step explanation:

uhhhhhh none :) kk bye <3

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Help ASAP
Add these expressions
(3x+15) + (4x+13)

Answers

Answer:7x+28

Step-by-step explanation:

Answer:

7x + 28

Step-by-step explanation:

Line up the columns just like with standard addition. Keep the x numbers in the same columns and keep the integers in their columns. It will look like this:

3x + 15

PLUS 4x + 13

----------------------

7x + 28

Which of the following is a linear function

Answers

Answer: 5/6x=y-4

Step-by-step explanation:

A linear function makes a straight line. When graphed, this makes a straight line

Answer:

Step-by-step explanation:

D would probably be the correct answer

Answers

Answer:

660 ways

Step-by-step explanation:

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

ps:I countedthepairsasoneeach.

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= 660 ways

If f(x)=3, what is the value of f(-7)?

Answers

The answer is f=-3/7

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