# Addition Rule of Probability: Example Problems

Recent questions in Addition Rule of Probability

## You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Find the theoretical probability of landing on the given section(s) of the spinner. (i) section 1 (ii) odd-numbered section (iii) a section whose number is a power of 2. [4 MARKS]

xhl62d5k 2023-01-31

## Write additive inverse and multiplicative inverse of $\frac{1}{5}$.

Mattie Monroe 2022-11-01

## Use the special addition rule to determine the probability of drawing either a spade OR a heart from a standard deck of cards, on one draw from the deck.

Josiah Owens 2022-10-30

## There is 16 white, 9 black and 7 yellow tulips. What's the probability of randomly picking 9 flowers where 2 are white, 3 are black, and 4 are yellow?

Cohen Ritter 2022-10-20

## What is the key word that indictes that the Addition Rule for Probabilities will be used?

Kassandra Mccall 2022-10-03

## What is another name for mutually exclusive events?

pramrok62 2022-09-28

## How do you add probabilities?

waldo7852p 2022-09-21

## The probability that John falls off a ladder and breaks his arm is 0.2, and the probability that John falls off a ladder and breaks his leg is .08. Are these events mutually exclusive (disjoint)? Why or why not?

roletatx 2022-08-19

## Could we use the special addition rule for determining the probability that for one draw from a deck of cards, that the card is either a Queen or a Heart? Why or why not?

ghettoking6q 2022-08-18

## In a jar are 10 marbles: 4 black, 5 blue, and 1 yellow. Why can we use the special addition rule to calculate the probability that a single marble drawn from the jar will be either black or yellow? What is the probability?

Mehlqv 2022-08-16

## What is the probability that, in a single draw from a standard deck of cards, we will get either a Jack or a Diamond?

Brylee Shepard 2022-08-14

## You roll two balanced dice one time. What is the probability that you obtain either a sum of 8 or the same number on each of the two dice?

Glenn Hopkins 2022-07-31

## The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual racetracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 40,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2000 hours of manufacturing time and 1600 hours of assembly time will be available next quarter. The pro?t contributions are \$200 per unit for model DRB and \$280 per unit for model DRW. The linear programming model for this problem is as follows:Max 200DRB + 280DRWs.t.20DRB + 25DRW 40,000 Steel Available40DRB + 100DRW ? 120,000 Manufacturing minutes60DRB + 40DRW ? 96,000 Assembly minutesDRB, DRW ? 0Optimal Objective Value = 424000.00000Variable Value blackuced Cost- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -DRB 1000.00000 0.00000DRW 800.00000 0.00000Constraint Slack/ Surplus Dual Value- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -1 0.00000 8.800002 0.00000 0.600003 4000.00000 0.00000Objective Allowable AllowableVariable Coef?cient Increase Decrease- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -DRB 200.00000 24.00000 88.00000DRW 280.00000 220.00000 30.00000RHS Allowable AllowableConstraint Value Increase Decrease- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -1 40000.00000 909.09091 10000.000002 120000.00000 40000.00000 5714.285713 96000.00000 Infnite 4000.00000a. What are the optimal solution and the total profit contribution?b. Another supplier offeblack to provide Deegan Industries with an additional 500 pounds of the steel alloy at \$2 per pound. Should Deegan purchase the additional pounds of the steel alloy? Explain.c. Deegan is considering using overtime to increase the available assembly time. What would you advise Deegan to do regarding this option? Explain.d. Because of increased competition, Deegan is considering blackucing the price of model DRB such that the new contribution to profit is \$175 per unit. How would this change in price affect the optimal solution? Explain.e. If the available manufacturing time is increased by 500 hours, will the dual value for the manufacturing time constraint change? Explain.

Talon Mcbride 2022-07-23

## What is the addition rule for mutually exclusive events?

Raegan Bray 2022-07-15

## What is the difference between events that are mutually exclusive and those that are not mutually exclusive?

icedagecs 2022-07-09

## A game is played by rolling a six sided die which has four red faces and two blue faces. One turn consists of throwing the die repeatedly until a blue face is on top or the die has been thrown 4 timesAdnan and Beryl each have one turn. Find the probability that Adnan throws the die more turns than BerylI tried : Adnan throws two times and Beryl throws once = $\frac{2}{3}$ x $\frac{1}{3}$Adnan throws three times and Beryl throws once = $\frac{4}{9}$ x $\frac{1}{2}$Adnan throws three times and Beryl throws twice = $\frac{4}{9}$ x $\frac{2}{3}$Adnan throws four times and Beryl throws once = $\frac{8}{27}$ x $\frac{1}{2}$Adnan throws four times and Beryl throws twice = $\frac{8}{27}$ x $\frac{2}{3}$Adnan throws four times and Beryl throws three times = $\frac{8}{27}$ x $\frac{4}{9}$The answer says 0.365

Keenan Santos 2022-07-09