A pair of dice is rolled. The outcomes are summarized in the following table: N

vousetmoiec

vousetmoiec

Answered question

2021-11-19

A pair of dice is rolled. The outcomes are summarized in the following table:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5.1) (5,2) (5,3) (5.4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6.4) (6,5) (6,6)
1. Find the probability, that the sum is 11 (adding the two numbers will equal to 11). Give your answer as a decimal, rounded to two decimal digits.
2. Find the probability, that the sum is more than 10 (which means 11 or 12). Give your answer as a decimal, rounded to two decimal digits.
3. Find the probability, that the sum is 6 OR the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits.

Answer & Explanation

Ralph Lester

Ralph Lester

Beginner2021-11-20Added 16 answers

Obtain the probability that the sum is 11.
The probability that the sum is 11 is obtained below as follows:
Let S denotes the total outcomes. That is, N(S)=36.
Let E denote the event that the sum is 11.
That is,
N(E)=[(5,6).(6,5)]
=2
The required probability is,
P(E)=236
=118
=0.0556
0.06
The probability that the sum is 11 is 0.06.
Novembruuo

Novembruuo

Beginner2021-11-21Added 26 answers

Obtain the probability that sum is more than 10.
The probability that the sum is more than 10 is obtained below as follows:
Let E denote the event that the sum is more than 10.
That is,
N(E)=[566566]
=3
The required probability is,
P(E)=336
=112
=0.0833
0.08
The probability that the sum is more than 10 is 0.08.
user_27qwe

user_27qwe

Skilled2021-11-25Added 375 answers

Obtain the probability that the sum is 6 OR the sum is more than 10.
The probability that the sum is 6 OR the sum is more than 10 is obtained below as follows:
Let A denote the event that sum is 6.
That is,
N(A)=[(1,5),(2,4),(3,3),(4,2),(5,1)]
=5
The required probability is,
P(A or E)=P(A)+P(E)P(A and E)
=536+336036
=836
=0.2222
0.22
The probability that the sum is 6 OR the sum is more than 10 is 0.22.

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