Question

Suppose that a ball is selected at random from an urn with balls numbered from 1 to 100, and without replacing that ball in the urn, a second ball is selected at random. What is the probability that:

1. The sum of two balls is below five.

2. Both balls have odd numbers.

3. Two consecutive numbers ar chosen, in ascending order

Answer #1

There are balls number from 1 to 100. Number of ways in which 2 balls can be picked =

1. Cases where the two balls sums below 5 =

(1,3) ; (2,2) ; (3,1) ; (1,2) ; (2,1) ; (1,1)

Number of ways the two balls sums up to 5

= 6

P(Number of ways the two balls sums up to 5) =

2. Number of cases where both the balls are odd numbers =

P(Both balls have odd numbers)

3. Number of cases where two consecutive numbers are chosen (in ascending order)

= 99

P(Two consecutive numbers ar chosen, in ascending order)

An urn contains seven balls, numbered from 1 to 7. Two balls are
drawn out randomly, with an equal likelihood for each outcome.
(a) What is the probability that the sum of the numbers is
greater than 10?
(b) What is the probability that the product is odd?
(c) What is the probability that the sum is greater than 10 and
the product is odd?
(d) What is the probability that the sum is greater than 10 or
the product...

Five balls numbered 1,2,3,4, and 5 are placed in an urn. Two
balls are randomly selected from the five, and their numbers noted.
Let Y be the greater of the two sampled numbers.
a) Find the pdf of Y
b) Find E(Y) and Var(Y)

Suppose that an urn contains 8 red balls and 4
white balls. We draw 2 balls
from the urn without replacement.
Now suppose that the balls have
different weights, with each red ball having weight
r and each white ball having weight w. Suppose that the
probability that a given ball in
the urn is the next one selected is its weight divided by the
sum of the weights of all
balls currently in the urn.
Now what is the...

A ping pong ball is drawn at random from an urn consisting of
balls numbered 4 through 9. A player wins $1.5 if the number on the
ball is odd and loses $0.5 if the number is even.
Let x be the amount of money a player will win/lose when playing
this game, where x is negative when the player loses money.
(a) Construct the probability table for this game. Round your
answers to two decimal places.
Outocme
x
Probability...

cards numbered from 1 through 31 are placed into a box and two
cards are selected without replacement. Find the probability that
both numbers selected are odd, given that their sum is even.
Find the probability that both numbers selected are odd, given
that their sum is even.

ping pong ball is drawn at random from an urn consisting of
balls numbered 4 through 9. A player wins $1.5 if the number on the
ball is odd and loses $1.5 if the number is even.
Let x be the amount of money a player will win/lose when playing
this game, where x is negative when the player loses money.
(a) Construct the probability table for this game. Round your
answers to two decimal places.
Outocme
x
Probability P(x)...

Two balls are selected with replacement from an urn containing 7
red and 3 blue balls a. What is the probability that both balls are
red? b. What is the probability that both balls are blue? c. What
is the probability that the first ball is red and the second is
ball is blue? d. What is the probability that the first ball is
blue and the second ball is red? e. What is the probability that
the two balls...

One urn contains 10 red balls and 10 white balls, a second urn
contains 8 red balls and 4 white balls, and a third urn contains 5
red balls and 10 white balls. An urn is selected at random, and a
ball is chosen from the urn. If the chosen ball is white, what is
the probability that it came from the third urn? Justify your
answer.

A ping pong ball is drawn at random from an urn consisting of
balls numbered 4 through 9. A player wins $0.5 if the number on the
ball is odd and loses $0.5 if the number is even.
Let x be the amount of money a player will win/lose when playing
this game, where x is negative when the player loses money.
(a) Construct the probability table for this game. Round your
answers to two decimal places.
Outocme
x
Probability...

An urn contains two red balls and three white balls.
If a ball is chosen at random, what is the probability that it
is white?
Group of answer choices
0
1
2/5
1/5
3/5
An urn contains two red balls and three white balls.
Suppose two balls are drawn randomly. What is the probability
that both will be white?
Group of answer choices
1/10
3/20
6/20
9/20
9/25

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 17 minutes ago

asked 25 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago