Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6. the probability that the sum of the numbers rolled is either even or a multiple of 5 is . the probability that the sum of the numbers rolled is either a multiple of 3 or 4 is .

answer: probability that the sum of the numbers rolled is either even or a multiple of 5 is given by

the probability that the sum of the numbers rolled is either a multiple of 3 or 4 is given by

step-by-step explanation:

since we have given that

total number of outcomes from a pair of six - sided dice = 36

possible outcomes of sum of numbers rolled is either even or a multiple of 5 =

so, number of possible outcomes = 21

probability that the sum of the numbers rolled is either even or a multiple of 5 is given by

possible outcomes of sum of the numbers rolled is either a multiple of 3 or 4 =

number of possible outcomes = 18

the probability that the sum of the numbers rolled is either a multiple of 3 or 4 is given by

the answer is mp

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true