Question
Asked Nov 10, 2019
240 views

A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) What is the probability of getting an even number in one throw?

check_circle

Expert Answer

Step 1

The probability of each face turning up is proportional to the number of dots on that face so,

 

The probability of getting 1 is p

 

The probability of getting 2 is 2p

 

The probability of getting 3 is 3p

 

The probability of getting 4 is 4p

 

The probability of getting 5 is 5p

 

and The probability of getting 6 is 6p.

 

 Since by the probability rule, sum of probabilities of the all the possible outcomes is equal to 1. So

 

 

help_outline

Image Transcriptionclose

p+2p+3p+4p+ 5p+6p =1 21p 1 1 p = 21

fullscreen
Step 2

The probability of getting an even number in one throw = probability of getting 2 + probability...

help_outline

Image Transcriptionclose

4 6 2 probablity of getting even number 21 21 21 12 21 4 7

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Basic Probability

Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Assume that the probability of a boy being born is the same as the probability of a girl being born....

A: Consider B represent a boy and G represents a girl. The total number of outcomes of 3 children in a ...

question_answer

Q: Let two cards be dealt​ successively, without​ replacement, from a standard​ 52-card deck. Find the ...

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

question_answer

Q: If one of these individuals is selected at random, what is the probability that the person watches: ...

A: (1) The probability that the person watches a station other than CBS, given that they are woman is 0...

question_answer

Q: Given the following table summarizing the responses of 270 people to toe question 'which evening new...

A: According to the provided data,Total viewers = 270Men = 145Women = 125Consider the events as:A: Watc...

question_answer

Q: the mean number of B's on a test is 8 with a standard deviation of 1.5. find  The probability of les...

A: Consider a random variable X which follows normal distribution indicating the number of B’s on a tes...

question_answer

Q: A fair coin is tossed three times in a succession. Find the probability of getting exactly one head.

A: The Possible outcomes for a fair coin are tossed three times in a succession:

question_answer

Q: Step 1: In designing a security system for its accounts, a bank asks each customer to choose a five-...

A: 1. The first digit can be filled in 9 ways because 0 is not possible as first digit as it will make ...

question_answer

Q: 3. Poisson process has intensity of a > 0 arrivals/occurrences per hour. Suppose that exactly one ar...

A: Given Poisson process of intensity α > 0 arrivals/occurrences per houra)P(0 ≤ T ≤ t) for t ε [0,1...

question_answer

Q: NASA announced that it will choose two astronauts to travel to the International Space Station. If f...

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we...