Rolling a red and yellow dice
(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)

a red die and a yellow die are rolled. the outcome "3 on the red die and 4 on the yellow die" can be represented by the ordered pair (3,4). what is the probability that the sum of the die is lucky number 7?

1/2

5/6

1/9

1/6

1/6

Step-by-step explanation:

The total number of possible outcomes are:

(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) = 36

The possible outcomes with sum 7 from the sample space are:

(1,6)(2,5)(3,4)(4,3)(5,2)(6,1) = 6

The probability with the sum 7 is:

=>

Hence the last option is correct.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8