Ou toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) 36 Correct: Your answer is correct. (b) There are three even numbers on each die. How many outcomes are possible with even numbers appearing on each die

a) The total possible outcomes are n(S) = 6² = 36

b)

The possible outcomes are possible with even numbers appearing on both dice

{ (2,2) , (2,4),(2,6), (4,2),(4,4),(4,6) ,(6,2),(6,4),(6,6) =9

The number of Exhaustive cases n(E) = 9

Step-by-step explanation:

Explanation:-

a)

when two dice are thrown

The 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)

The total possible outcomes are n(S) = 36

b)

The possible outcomes are possible with even numbers appearing on both dice

{ (2,2) , (2,4),(2,6), (4,2),(4,4),(4,6) ,(6,2),(6,4),(6,6) =9

The number of Exhaustive cases n(E) = 9

Probability    

yes because a quadrilateral is equal to 4 sides and a rhombus has 4 sides so technacly it is a quadrilateral.

x = 12

y = 1

for the points!