The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 70%. What is the probability of getting wet today? | |
[1] | There are 50 balls in a bag. This is is the probability distribution of their color:
| | 0.9 | 0.1 | | | blue | orange | yellow | | Color |
If you choose a random ball from the bag, what is the probability of it not being orange? | |
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Flip 7 coins. What is the probability of getting 7 heads? | |
[1] | The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 80%. What is the probability of getting wet today? | |
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Roll 102 6-sided dice. How many times would you expect to get less than 5? | |
[1] | Flip 2 coins. What is the probability of getting 2 heads? | |
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Flip 7 coins. What is the probability of getting 7 tails? | |
[1] | Flip a coin 8 times. Each time a head comes up you win $3 and with each tail you lose $2. It costs $6 to play (paid once). How much money would you expect to make altogether? | |
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| You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times? | |
[1] | Roll 30 6-sided dice. How many times would you expect to get less than or equal to 2? | |
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Roll 84 6-sided dice. How many times would you expect to get more than or equal to 6? | |
[1] | A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:
| | 0.45 | 0.2 | 0.2 | 0.1 | 0.05 | | 1 | 2 | 3 | 4 | 5 | | Number |
What is the probability of rolling a number that is bigger than 1? | |
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There are 100 balls in a bag. This is is the probability distribution of their color:
| | 0.4 | 0.1 | 0.5 | | orange | purple | blue | | Color |
If you choose a random ball from the bag, what is the probability of it being blue? | |
[1] | There are 32 balls in a bag. This is is the probability distribution of their color:
How many green balls were in the bag? | |
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| You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 20% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times? | |
[1] | A group of dogs were timed running 100m. Here are the results:
What is the probability of the dogs to run 100m in less than 17s?
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[2] |
We asked a group of girls how many Strawberries they eat in a month. Here are the results:
| Strawberries | girls | | 0 | 6 | | 1 | 6 | | 2 | 5 | | 3 | 5 |
What is the probability of the girls to eat more than 3 Strawberries in a month? | |
[2] | The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 40%. You flip a coin to decide whether to take your umbrella. What is the probability of getting wet today? | |
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