Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 6

Respuesta :

The answer is 19 : 2.

Since chips are drawn at random so possible number of outcomes is

[tex]C(7,2)=\frac{7 !}{2 ! 5 !}=21[/tex]

Following table shows all possible outcomes and the corresponding sum :

Outcomes Sum

1 2         3

1 3        4

1 4        5

1 5        6

1 6        7

1 7       8

2 3       5

2 4       6

2 5       7

2 6       8

2 7       9

3 4       7

3 5       8

3 6       9

3 7      10

4 5      9

4 6     10

4 7      11

5 6      11

5 7      12

6 7       13

Out of 21 outcomes, 2 shows sum 6.

That is outcome in favor are 21-2=19 and against are 2.

The odds are the sum of the numbers on the two selected slips is not 6 is 19 : 2.

What is Probability?

  • Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics.
  • The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.
  • You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

To learn more about probability visit:

https://brainly.com/question/14210034?

#SPJ4