if we have stream of bits (0s and 1s) arriving statistically independent of each other. with probability p, an arriving bit is 1. what is the probability that the largest bucket is of size 2^n. Hint...

if we have stream of bits (0s and 1s) arriving statistically independent of each other. with probability p, an arriving bit is 1. what is the probability that the largest bucket is of size 2^n. Hint...

For a test of 14 true‐false questions, determine the probabilities of the events if every question is answered by guessing. Enter your answers as fractions.

A random sample of 80 people were selected to determine their preference for either McDonalds or Burger King. If it is known that the probability that a randomly selected person will prefer McDonalds...

A regular deck of 52 cards has 13 cards (including 3 face cards) in each of 4 suits. The sum of the probability that an event will happen and the probability that the...

An experiment consists of tossing a regular die with faces numbered 1 through 6. Use the following events to determine the probabilities in the following: E: Obtaining an even number F:...

I understand the dividing part just keep getting caught on the common den.

The dice game called craps has the following rules: If the player rolling the dice gets a sum of 7 or 11, he or she wins. If the player rolls a sum of 2, 3, or 12, she or he loses. If the first...

Suppose there are 5 red marbles, 10 purple marbles and 20 blue marbles in a jar. What is the probability of choosing a purple marble and then a purple marble if the first marble is replaced?

Suppose there are 5 red marbles, 10 purple marbles and 20 blue marbles in a jar. What is the probability of choosing a purple marble and then a purple marble if the first marble is not replaced?...

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A fair six-sided die is rolled until it comes up 6. What is the probability that the number of rolls will be exactly 5 given that it takes at least 2 rolls?

We choose at random 3 numbers a,b,c from {0,1,2,3} and consider the points A(1,a), B(2,b), C(3,c) What is the probability that A,B and C are on the same line? The area of Triangle ABC...

If the chances of a golfer hitting a hole in one are 1-2500 what are the odds of the golfer hitting ZERO holes in one after 1,000,000 attempts?

Six numbers from 1 to 6 are marked on six cards one by one. Choose three cards and let there number be a,b,c (a<b<c). Consider this event that the three numbers a,b and c are the lengths of...

A farm has 5 cows and 4 hens. You choose 2 randomly. Calculate the probability that you will choose at least one cow.

Combination or permutation

There were balloons of two different colours(red and violet). If one balloon is sold, he inflates two balloons of the other colour. Suppose he has 'x' red balloons and 'y' violet. From that...

How many outcomes are possible if a dice is rolled five times?

Six numbers from 1 to 6 are marked on six cards one by one. Choose three cards and let there number be a,b,c (a<b<c). Consider this event that the three numbers a,b and c are the lengths of...

The geometric probability of throwing a bag through a cornhole board is about 5%.The rectangular dimensions of the board is 24” by 28”.

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