2. Emma is playing a game with two fair dice. She needs to score 5, using both dice, to win the
game.
What's the probability she will win the game?

The required probability is:

Step-by-step explanation:

It is given that Emma has two fair dice.

To win, she needs to score 5 using both dice.

Cases, where she can have 5:

{(1,4), (4,1), (2,3), (3,2)}

Let the event be A that she gets a score = 5

Total number of favorable cases, n(A) = 4

Total number of cases for throw of 2 dice, n(S) = 36

These 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)

}

Formula for probability of an event E  is given as:

or

Using the above formula, the required probability:

So, the required probability is .

the distance between point a and point b is 6 units

its kind of blurry. can you put a clearer pic?

step-by-step explanation: