A ball is drawn at random from a container that holds 7 yellow balls numbered 1 to 7, 6 orange balls numbered 1 to 6, and 8 gray balls numbered 1 to 8. a) What is the probability of obtaining an orange ball? b) What is the probability of obtaining a ball numbered 5? c) What is the probability of obtaining an orange ball or a ball numbered 5?

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 9, b) a sum not…

A: It is given that a pair of dice is rolled. The sample space is S = { (1,1) (1,2) (1,3) (1,4) (1,5)…

Q: A box contains 24 yellow, 30 g

A: Given, a box contains 24 yellow, 30 green, and 36 red jelly beans. If 12 jelly beans are selected at…

Q: A coin is tossed 100 times. Find the probability that a) tail appears exactly 60 times b) tail…

A: (a)The probability that tail appears exactly 60 times is,

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 10, b) a sum not…

A:

Q: Two dice are rolled and the faces are added together. Give answer for all of the above A) What is…

A: Two dice are rolled and the faces are added together Total number of outcomes possible when a die is…

Q: The Honolulu Advertiser states that in Honolulu there was an average of 886 burglaries per 100,000…

A: Given Let r = number of these homes that will be burglarized in a year is rare event and these event…

Q: Five names are selected at random from a list of 25 names. What is the probability that they will be…

A: solution: selection of 5 names out of 25 =25C5  As we know( N C n)=(N p n)/n!  Probability of that…

Q: A pair of dice is rolled. Find the probability of rolling a) The probability of rolling a sum not…

A:

Q: A bag contains 4 red marbles and 6 blue marbles. A marble is drawn and then replaced. This is done…

A:

Q: A jar contains 2 red marbles numbered 1 to 2 and 10 blue marbles numbered 1 to 10. A marble is drawn…

A: Solution

Q: A number is randomly selected from the set {1, 2, 3, 4, 5, 6, 7, 8}. If the number chosen us greater…

A:

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 11, b) a sum not…

A: A pair of dice is rolled together. One has to determine the probability of rolling such that  (a)…

Q: The ratio of females to males in the freshman class at a local private school is 2 to 3. a)  What…

A: It is stated that the ratio of females to males is 2:3. A ratio is an expression used to compare…

Q: A fair coin is tossed 9 times. What is the probability that: a)   Exactly 7 heads appear?  b)   At…

A: Given a fair coin is tossed 9 times.So, Probability of heads = probability of tails = 0.5That is,…

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 5, b) a sum not…

A: From the provided information, A pair of dice is rolled. Total outcomes = 36

Q: A pair of dice is rolled. Find the probability of rolling a sum not more than 10, b) a sum not less…

A: A pair of dice is rolled. Then its sample space is written as: Ω=1,1, 1,2, 1,3, 1,4, 1,5, 1,6,2,1,…

Q: The probability that Tim will sink a foul shot is 70%. If Tim attempts 30 foul shots, what is the…

A: The probability that Tim will sink a foul shot is 70% = 0.7 Tim attempts 30 foul shots.  So, if X =…

Q: each of them has a different number of black and white balls inside. The number of balls varies…

A: The question is about probability Given :   To find : Given that a box is first picked at random a…

Q: A fair coin is tossed 12 times. What is the probability that: a)   Exactly 7 heads appear?  b)   At…

A:

Q: fair coin is tossed 7 times. What is the probability that: a)   Exactly 5 heads appear?  b)   At…

A:

Q: a) The probability of rolling a sum not more than 7 is (Type an integer or a simplified fraction.)

A:

Q: Consider the experiment of rolling two dice. a)What is the probability of obtaining a sum of nine…

A: if two dice are rolled than the possible outcomesare 36.i.e n(S)=36

Q: A pair of dice is rolled. Find the probability of rolling a) The probability of rolling a sum not…

A: A pair of dice is rolled. Then sample space(S);

Q: A pair of dice is rolled. Find the probability of rolling   ​a) a sum not more than 11​, ​b) a sum…

A: Given that a pair of dice is rolled we need to find the following probabilities Now a)  Probability…

Q: A pair of dice is rolled. Find the probability of rolling   ​a) a sum not more than 9​, ​b) a sum…

A:

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.