1. If the probability of winning a contest is .6, what is the probability of los

Question

1. If the probability of winning a contest is .6, what is the probability of losing? For this contest you either win or lose.
2. For #11, the two events in a and b are independent. Which specific step (stated in the problem) makes these two events independent? (Hint: Think about why the events “get red on first” and “get green on second” do not affect each other.)
3. Consider that probability is the number of successes divided by the number of total possibilities. Explain why the probability of an event cannot be greater than 1? Use an example of an experiment to illustrate your point.
1. If the probability of winning a contest is .6, what is the probability of losing? For this contest you either win or lose.
2. For #11, the two events in a and b are independent. Which specific step (stated in the problem) makes these two events independent? (Hint: Think about why the events “get red on first” and “get green on second” do not affect each other.)
3. Consider that probability is the number of successes divided by the number of total possibilities. Explain why the probability of an event cannot be greater than 1? Use an example of an experiment to illustrate your point.
1. If the probability of winning a contest is .6, what is the probability of losing? For this contest you either win or lose.
2. For #11, the two events in a and b are independent. Which specific step (stated in the problem) makes these two events independent? (Hint: Think about why the events “get red on first” and “get green on second” do not affect each other.)
3. Consider that probability is the number of successes divided by the number of total possibilities. Explain why the probability of an event cannot be greater than 1? Use an example of an experiment to illustrate your point.

Explanation / Answer

1. P(total) = P(win) + P(loss)

Thus, 1 = 0.6 + P(loss)

P(loss) = 1 - 0.6 = 0.4

2. example 11 is not specified in given problem. In general two events are independent when if one event occurs then other can not. for ex. Tossing a single coin can result in either head or tail but not both simultaneously. Thus, these two are independent events)

3. probability = number of successes / number of total possibilities

Number of success is always part of total possibilities and is subset of it.Thus, the ratio can never be greater than 1. It will be maximum 1 when count(number of success) = total number of possibilities

For ex. Consider Sample space = coin toss

P(Head) = 1/2, P(Tail) = 1/2

P(Head and Tail) = 0

P(Head or Tail) =1/2 + 1/2 =1

and there can not be any other combination

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