Question

Probabilities involving two rolls of a die: Decimal answers An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 7. Event B: The sum is not divisible by 2 and not divisible by 6. Round your answers to two decimal places. (a) $P(A) = \Box$ (b) $P(B) = \Box$ Explanation Check © 2023 McGraw Hill LLC. All Rights Reserved. | Terms of Use | Privacy Center

          Probabilities involving two rolls of a die: Decimal answers

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.

Compute the probability of each of the following events.

Event A: The sum is greater than 7.
Event B: The sum is not divisible by 2 and not divisible by 6.

Round your answers to two decimal places.

(a) $P(A) = \Box$
(b) $P(B) = \Box$

Explanation
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probabilities involving two rolls of a die decimal answers an ordinary fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is ro 80531

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

05/07/2024

Step 1

The experiment involves rolling a fair die twice. The possible outcomes for each roll are {1, 2, 3, 4, 5, 6}. The total number of possible outcomes when rolling a die twice is $6 \times 6 = 36$. The outcome of interest is the sum of the face values of the two Show more…

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Probabilities involving two rolls of a die: Decimal answers An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 7. Event B: The sum is not divisible by 2 and not divisible by 6. Round your answers to two decimal places. (a) $P(A) = \Box$ (b) $P(B) = \Box$ Explanation Check © 2023 McGraw Hill LLC. All Rights Reserved. | Terms of Use | Privacy Center

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Transcript

00:01 So, we are given that we are having a single die ranging from the faces of 1 to 6.

00:09 It is rolled 2 times.

00:11 So, we just have to find the probability that the sum is greater than 2.

00:15 8 sum is greater than 2.

00:16 3.

00:17 Okay.

00:17 The sum is divisible by 3.

00:20 What's their probability? first of all, if you try to write it down, the sample space for rolling the 2 dies.

00:28 So its outcome will be 1 comma 1 comma 1 comma 2 comma 1 comma 3 comma 1 comma 4.

00:38 It will be up to dash dash 1 comma 6.

00:41 Then you will start from 2 comma 1 2 comma 2.

00:45 And likewise you will write it down up to 6 comma 6.

00:50 Means the total number of elements that is n of x this should be equals to 36 here.

00:55 Here.

00:56 Now we can write it down the set of sum that is 1 plus 1 comma 1 plus 2 comma 1 plus 3 comma it will be up to that dash 6 plus 6.

01:11 So i want to let you know when the x is 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11 and 12.

01:27 What will be the interface? that means the sum you will get.

01:31 It has 1.

01:33 1 time you will get the sum as 2.

01:35 2 times you will get the sum as 3.

01:38 3 times 4.

01:39 4 times 5.

01:41 5 times 6.

01:42 6 times 7.

01:44 7 times 8...

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