There are 45 candies in a bowl, 20 red and 25 yellow. If two are taken from the bowl, what is the probability they will be two red candies?
here is what I have but I need help with the rest or even knowing if I am right.
20/45
25/43
25 * 20 = 500
45 * 43 = 1935
0.25839 is decimal
label your results, such as
prob(red) = 20/45 = 4/9
prob(yellow) = 5/9
(don't just write down some arithmetic calculations,
e.g. what is 25*20 = 500 supposed to represent )
here is all you need
Prob(2 reds) = (20/45)(19/44) = 19/99
explanation:
prob(first red) = 20/45
there are now 19 reds left of the remaining 44 candies
so prob(another red) = 19/44
To find the probability of drawing two red candies from the bowl, you need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's determine the total number of possible outcomes. We know there are 45 candies in the bowl, so the first draw has 45 possible candies to choose from. After the first candy is drawn, there will be one less candy in the bowl, so for the second draw, there will be 44 possible candies to choose from.
Next, let's determine the number of favorable outcomes. Since we want to draw two red candies, we need to calculate the probability of drawing one red candy and then another red candy.
The probability of drawing the first red candy is 20 (the number of red candies) divided by 45 (the total number of candies). This simplifies to 20/45.
After drawing the first red candy, there will be one less red candy in the bowl, and the total number of candies in the bowl will be reduced by one. So, for the second draw, the probability of drawing another red candy is 19 (the remaining red candies) divided by 44 (the remaining candies in the bowl). This simplifies to 19/44.
To find the overall probability, we multiply the probabilities of the individual draws. So the probability of drawing two red candies is (20/45) * (19/44), which simplifies to 380/1980.
To get the decimal representation, divide the numerator (380) by the denominator (1980), which gives you approximately 0.1919.
Therefore, the probability of drawing two red candies from the bowl would be approximately 0.1919, or about 19.19%.