A die is weighted in such a way

kstorm626

kstorm626

Answered question

2022-04-09

A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability distribution. What is the probability of rolling less than 5?

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-07-02Added 375 answers

From the given information,
Let P(X =1)=P(X=3)=P(X=5)=a
then P(X =2)=P(X=4)=P(X=6)=2a
xP(X=x)=1
 P(X =1)+ P(X=2)+P(X=3)+ P(X=4)+ P(X=5)+P(X=6)=1

9a=1

a=19

 

The probability distribution

Outcome         1      2      3      4      5      6
Probability     1/9  2/9   1/9   2/9   1/9  2/9


The probability of rolling less than 5 is

P(X <5)=P(X=1)4+P(X=2)+ P(X=3)+ P(X=4)

=19+29+19+29

=69

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Math Word Problem

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?