Question

70 points!! Find the theoretical probability of each outcome.

1. There is a 3% probability of winning a game. Find the probability of not winning the game.

2. There is a 15% chance it will snow and a 15% chance it will rain. What is the probability that it will neither snow nor rain?

3. The odds against winning a contest are 99:1. What is the probability of not winning the contest?

4. A spinner has red, green, blue, and yellow. the probability of spinning a red is 0.4, the probability of spinning a blue is 0.05 and the probability of spinning a yellow is 0.25. What is the probability of spinning a green?

5. Miguel entered a contest offering prizes to the top 3 finishers. The probability of winning 1st is 12%, the probability of winning 2nd is 18% and the probability of winning 3rd is 20%. What is the probability that Miguel will not win any prize?

6.
The odds of winning a contest are 1:50. What is the probability of winning the contest?

Answer 1

1. 97%

2. 70%

3. 1:99

4. 0.3

5. 50%

6. 50:1

Explanation:

Answer 2

Explanation:

1) If theres 3% of winning, then the rest is losing which is 97%

2) If theres a 15% chance of snow and 15% chance of rain then everything else is a chance of neither which is 70%

3) If the odds are 99:1 to not win then winning is 1:99 (im not so sure about this im so sorry owen)

4) If you add the sum of the totals in the problems it becomes 0.7. The remaining should be green which is 0.3.

5) Find the sum of all the percentages put together to get 50%. Whatever is left is the probability of winning nothing which is 50%

6) Should be 50:1 im not so sure like i told you dont kill me heheh