Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Two friends, Bob and Ben, each buy one ticket for a drawing. They can choose six numbers from a total of one hundred numbers (0 - 99) for their ticket. Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89. Who has a higher probability of winning the drawing?

Sagot :

shubhamchouhanvrVT

Bob and Ben, both have equal probabilities of 6 % of winning.

What is probability?

Given that Bob and Ben are two friends who buy one lottery ticket each. Each ticket contains six numbers from a total of one hundred numbers from 0 to 99.

Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89.

We are to select the friend who has a higher probability of winning.

Let, 'S' be the sample space for the experiment.

Then, S = {0, 1, 2, . . . , 98, 99}      ⇒  n(S) = 100.

Let, B and F are the events that Bob win and Ben win respectively.

Then,

B = {1, 2, 3, 4, 5, 6}     ⇒  n(B) = 6

and

F = {39, 45, 66, 72, 74, 89}     ⇒  n(F) = 6.

Therefore, the probability of even t B is

[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{6}{100}=6\%[/tex]

and the probability of event F  is

[tex]P(B)=\dfrac{n(F)}{n(S)}=\dfrac{6}{100}=6\%[/tex]

Since, both the events have equal probabilities, so there is an equal chance of winning of Bob and Ben.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.