You are presented with three urns. each urn has 10 marbles. in addition, each urn holds only black or red marbles. urn 1 has 3 red marbles. urn 2 has 8 red marbles. urn 3 has 5 red marbles. you randomly pick 1 marble from 1 of the three urns. calculate the probability that it is a black marble.

Question

15-04-2018
Mathematics

contestada

You are presented with three urns. each urn has 10 marbles. in addition, each urn holds only black or red marbles. urn 1 has 3 red marbles. urn 2 has 8 red marbles. urn 3 has 5 red marbles. you randomly pick 1 marble from 1 of the three urns. calculate the probability that it is a black marble.

Respuesta :

Otras preguntas

Which of the following is a palindromic sequence? a. AGGTCC TCCAGG b. CCTTCC GCAAGG c. GAATCC CTTAGG d. GGATCC CCTAGG e. GTATCC CATAGG

Round the following number to the indicated place. 66.1086 to hundredths

In your first lab, you will measure the diameter and height of a cylinder. The diameter will be measured with a micrometer and the height will be measured with

Write a procedural programming loop.. Your loop should start variable n with a value of 10 and count down to zero. The loop should terminate when n reaches the

A woman stands on a scale in a moving elevator. Her massis 60.0 kg and the combined mass of the elevator and scale is anadditional 815 kg. Starting from rest, t

A student throws a softball horizontally from a dorm window 15.0 m above the ground. Another student standing 10.0 m away catches the ball at a height of 1.50 m

Solve the following logarithmic equation: In(x +31)-In(4-3x)-5In2 0 x = 2 1 points x= 0 x-0.5 ○ x=0.25 None of the above to save all

Represent 0.00563 mg as a number between 0.1 and 1000 using an appropriate prefix Express your answer to three significant figures and include the appropriate u

What is the difference between congestion control and flow control? Where are each managed in TCP?

Using Equation 3, what is the force of gravity between you and Earth, assuming all of the Earth's mass is at its center and you are standing at sea level? The m

carlosego carlosego · Answer 1 · 2018-05-02T20:27:13+02:00

To calculate this probability we must take into account that there is the same probability that any of the 3 urns is chosen.
This probability is:
P (U1) = P (U2) = P (U3) = 1/3
Urn 1 contains 7 black and 3 red marbles
Urn 2 contains 2 black and 8 marbles network
Urn 3 contains 5 black marbles and 5 red marbles.

The probability of obtaining a black marble in Urn 1 is 7/10.
The probability of obtaining a black marble in Urn 2 is 2/10
The probability of obtaining a black marble in Urn 3 is 5/10.

Then we look for the probability of obtaining a black marble from urn 1 or a black marble from urn 2 or a black marble from urn 3. This is:
P (U1yB) + P (U2yB) + P (U3yB)
So:
(1/3) * (7/10) + (1/3) * (2/10) + (1/3) * (5/10) = 0,2333 + 0,0667 + 0,1667 = 0, 4667.
The probability that it is a black marble is 46.67%