This module covers Chapter 11, Section 11.1 to 11.4 and focuses on probability. One common example...

This module covers Chapter 11, Section 11.1 to 11.4 and focuses on probability. One common example of probability is the daily or weekly lottery. Have you ever seen those drawings where they use ping-pong balls to select random numbers? If you calculate the chances of winning, they are pretty poor. For this week, I want you to design your own lottery and have another student assess the chances of winning. Keep it simple ... you could use dice, balls with numbers, or some other approach. Example initial post ... I would like to design a lottery where there are 3 dice in a bag. The person will pick one dice at a time and record the number. In the end, we will have a sequence of 3 numbers. What is the chance of winning my game? Example response post ... Since there are 6 sides to each dice, each selection has 6 different possible outcomes. Since we make 3 selections, the total number of outcomes is 6^3 = 6*6*6 = 216. So, our chances (or probability) of getting any single outcome is 1/216 or 1 out of 216. Another way to think of this is 1/216 = 0.004629 = 0.46% chance of winning. PLEASE TYPE- PLEASE TYPE

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Expert Solution

We can design a game like this:

Consider a game in which we have 10 balls numbered from 1 to 10..e., the balls have numbers written on them, from 1 to 10. A person picks up randomly 2 balls. He wins the lottery if the product of the two numbers on the two balls he selected is a perfect square.

Now, there can be total of 45 products that can be possible when randomly 2 balls are selected (which can be done in 10×9=90 ways) , and the product of the two numbers written on the balls is taken (exactly 90/2=45 products will be there, as 4×7=7×4 and two pairs will give one product. Therefore ecavtly half, i.e., 45 products will be there).

For digits 1 to 10, there are only two products that are perfect numbers, 16 and 36. Terefore, chances of winning are 2/45= 0.0444.

This game can be extended to how many ever balls one wishes to add. Logic will remain same. Hope this answer provides you what u were looking for. Feel free to leave a feedback. All the best. Rock the game..!

milcah answered 1 year ago

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