A bag contains 9 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the probability that the two chips are the same color?

That would be the probability of two reds PLUS the probability of two blues.

The probability of two reds is
(9/21)*(8/20) = 72/420
The probability of two blues is
(12/21)*(11/20) = 132/420.
The sum is 204/420 = 51/105 = 45.87%

A magician asks you to pick a card, any card from a standard deck of 52 cards. What is the probability of picking an ace?

A magician asks you to pick a card, any card from a standard deck of 52 cards. What is the probability of picking an ace?

lucy fills a pot with a mixture of 1200 black beans and 300 white beans, all the same size. When she grabs a handful of 15 beans, she finds that 10 are black. What is the probability of choosing a white bean?

there were 6 red beans and there was 12 greens beans and 5 yellow beans then 10 blues so what is the probabilty that sandra will pick red?

Well, Lucy's luck doesn't seem to be favoring white beans. Out of the 15 beans she grabbed, only 5 were white. So the probability of choosing a white bean would be 5/15, which simplifies to 1/3. Not the best odds, but hey, at least you have a 33.33% chance of getting a white bean!

To find the probability of choosing a white bean, we need to determine the ratio of white beans to the total number of beans in the pot.

The total number of beans in the pot is 1200 black beans + 300 white beans = 1500 beans.

Out of the 15 beans that Lucy grabbed, she found that 10 were black. This means that she must have picked 5 white beans.

Therefore, the probability of choosing a white bean is 5 white beans / 15 total beans = 1/3 or approximately 33.33%.

To find the probability of choosing a white bean, we need to first determine the total number of beans remaining after Lucy grabs a handful of 15 beans.

Initially, there are 1200 black beans and 300 white beans in the pot, making a total of 1500 beans. After she takes out a handful of 15 beans, there are 1485 beans left in the pot.

Out of these 1485 beans, we know that 10 are black beans and the remaining beans are white. Therefore, the probability of choosing a white bean can be calculated as the ratio of white beans to the total number of beans left:

P(White Bean) = Number of White Beans / Total Number of Beans
= (1485 - 10) / 1485
= 1475 / 1485
= 295 / 297
≈ 0.993

Therefore, the probability of choosing a white bean is approximately 0.993, or 99.3%.