# Results series of independent events

PSY-520 Graduate Statistics

Topic 2 – Probability Project

__Directions:__ Use the following information to complete the assignment.

There are many misconceptions about probability which may include the following.

· *All events are equally likely.*

· *Later events may be affected by or compensate for earlier ones.*

· *When determining probability from statistical data, sample size is irrelevant.*

· *Results of games of skill are unaffected by the nature of the participants.*

· *“Lucky/Unlucky” numbers can influence random events.*

· *In random events involving selection, results are dependent on number rather than rations.*

· *If events are random, then the results of a series of independent events are equally likely.*

The following statements are all incorrect. Explain the statements and the errors fully using the probability rules discussed in topic two.

1. The number 7 is a lucky number so you are more likely to win raffles with ticket number 7 than with a different number.

2. I roll two dice and add the results. The probability of getting a total of 8 is 1/12 because there are 12 different possibilities and 8 is one of them.

3. Mr. Verde has to have a major operation. Ninety-three percent of the people who have this operation make a complete recovery. There is a 93% chance that Mr. Verde will make a complete recovery if he has this operation.

4. The Ramblers play the Chargers. The Ramblers can win, loose, or draw, so the probability that they win is 1/3.

5. I have flipped an unbiased coin four times and got heads. It is more likely to get tails the next time I flip it.

6. Thirty random college students are asked if they study during the week. Since 60% said yes, a statement can be made that 40% of students only study on the weekend.

7. I have two coins. If I flip them together, the probability of getting a heads and a tails is 1/3. This is because you can only get two heads, two tails, or one head and one tail.