CountryGirl2001
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An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sum of the dots is 7 or 11?




A. 2/9

B. 5/18

C. 1/9

D. 7/36

my answer is c

An experiment consists of rolling two fair dice and adding the dots on the two sides facing up What is the probability that the sum of the dots is 7 or 11 A 29 class=

Respuesta :

abidemiokin

Answer: 2/9

Step-by-step explanation:

Firstly, we need to know the total number of sample space of tossing two fair die.

Since a die has 6 faces, the total sample space when 'n' dice are tossed is 6^n. Tossing 2 dies, the total sample space will be 6² where n=2 which is 36.

Total outcome = 36

Probability that the outcome gives 7 or 11 will be {(2,5), (5,2), (6,1), (1,6), (4,3), (3,4), (6,5), (5,6)}

Possible outcome is the total element in the set which is 8

Therefore probability that the sum of the dots is 7 or 11 will be possible outcome/total outcome

This will give 8/36 = 2/9

asuwafohjames

The probability of obtaining dots whose sum is 7 or 11 is 2/9 and the right answer is A. 2/9.

What is probability?

Probability can be defined as the or uncertainty that an event will occur or not.

To calculate the probability of the sum of the dot that is 7 or 11, we use the formula  below

Formula:

  • P(d) = (n(7)/N)+(n(11)/N).......... Equation 1

Where:

  • P(d) = Probability that the sum of the dots is 7 or 11
  • n(7) = Number of dots whose sum is 7
  • n(11) = Number of dots whose sum is 11
  • N = Total outcome


From the question,

Given:

  • n(7) = 6
  • n(11) = 2
  • N = 36

Substitute these values into equation 1

  • P(d) = (6/36)+(2/36)
  • P(d) = (1/6)+(1/18)
  • P(d) = (3+1)/18
  • P(d) = 4/18
  • P(d) = 2/9

Hence, the probability of obtaining dots whose sum is 7 or 11 is 2/9 and the right answer is A. 2/9.

Learn more about probability here: https://brainly.com/question/24756209

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