Chapter 39: Q 5 Exercise (page 1136)

Make a table in which you list all possible outcomes of rolling two dice. Call the dice A and B. What is the probability of rolling
(a) a 7,
(b) any double, and
(c) a 6 or an 8?
You can give the probabilities as fractions, such as 3/36.

Short Answer

Expert verified

Therefore, the probabilities are:

$a) p = \frac{1}{6} b) p = \frac{1}{6} c) p = \frac{5}{18}$

Step by step solution

Given information

Two dice are rolled. Call the dice A and B.

Explanation

The table of all possible outcomes when two dice are rolled:

A	B	A	B
1	1	4	1
1	2	4	2
1	3	4	3
1	4	4	4
1	5	4	5
1	6	4	6
2	1	5	1
2	2	5	2
2	3	5	3
2	4	5	4
2	5	5	5
2	6	5	6
3	1	6	1
3	2	6	2
3	3	6	3
3	4	6	4
3	5	6	5
3	6	6	6

Explanation

There are a total of 6 dice combinations, with a result of 7. As a result, the probability is:

$p = \frac{6}{36} p = \frac{1}{6}$

Because there are 6 possible double combinations, the probability is

$p = \frac{6}{36} p = \frac{1}{6}$

There are five combinations in which 6 is possible, and five combinations in which 8 is plausible, hence a total of ten possibilities. As a result, probability is:

$p = \frac{10}{36} p = \frac{5}{18}$

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Make a table in which you list all possible outcomes of rolling two dice. Call the dice A and B. What is the probability of rolling
(a) a 7,
(b) any double, and
(c) a 6 or an 8?
You can give the probabilities as fractions, such as 3/36.

Short Answer

Step by step solution

Given information

Explanation

Explanation

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A	B	A	B
1	1	4	1
1	2	4	2
1	3	4	3
1	4	4	4
1	5	4	5
1	6	4	6
2	1	5	1
2	2	5	2
2	3	5	3
2	4	5	4
2	5	5	5
2	6	5	6
3	1	6	1
3	2	6	2
3	3	6	3
3	4	6	4
3	5	6	5
3	6	6	6

A	B	A	B
1	1	4	1
1	2	4	2
1	3	4	3
1	4	4	4
1	5	4	5
1	6	4	6
2	1	5	1
2	2	5	2
2	3	5	3
2	4	5	4
2	5	5	5
2	6	5	6
3	1	6	1
3	2	6	2
3	3	6	3
3	4	6	4
3	5	6	5
3	6	6	6

Make a table in which you list all possible outcomes of rolling two dice. Call the dice A and B. What is the probability of rolling (a) a 7,(b) any double, and(c) a 6 or an 8?You can give the probabilities as fractions, such as 3/36.

Short Answer

Step by step solution

Given information

Explanation

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Mechanics and Materials

Energy Physics

Force

Space Physics

Physics of Motion

Study anywhere. Anytime. Across all devices.

Make a table in which you list all possible outcomes of rolling two dice. Call the dice A and B. What is the probability of rolling
(a) a 7,
(b) any double, and
(c) a 6 or an 8?
You can give the probabilities as fractions, such as 3/36.

A	B	A	B
1	1	4	1
1	2	4	2
1	3	4	3
1	4	4	4
1	5	4	5
1	6	4	6
2	1	5	1
2	2	5	2
2	3	5	3
2	4	5	4
2	5	5	5
2	6	5	6
3	1	6	1
3	2	6	2
3	3	6	3
3	4	6	4
3	5	6	5
3	6	6	6