A box contains 7 pieces of candy: 1 green, 1 blue, and 5 red. You select one piece at random. Find the following probabilities.
a.) P ( P(green or red ) =
b.) P ( P(green and red )
c.) P ( P(green or blue ) =
d.) P ( P(not(green or blue) ) =
first of all, since you are selecting one item, choice b) of green AND red is not possible, so pro(green and red) = 0
I will do a) , you do the rest
P(green or red):
there are 1 green and 5 red, so 6 of them are green OR red
P(green or red) = 6/7 , did you notice only 1 is not either green or red ??
do the others following the same logic
To find the probability of an event occurring, you need to divide the number of favorable outcomes by the total number of possible outcomes.
In this case, we have 7 pieces of candy: 1 green, 1 blue, and 5 red.
a) P(P(green or red)):
To find the probability that you select a green or red candy, you need to determine the number of green or red candies and divide it by the total number of candies.
Number of green or red candies = 1 green + 5 red = 6
Total number of candies = 7
P(P(green or red)) = Number of green or red candies / Total number of candies
= 6 / 7
b) P(P(green and red)):
To find the probability that you select both a green and red candy, you need to determine the number of green and red candies and divide it by the total number of candies.
Number of green and red candies = 0 (since there is no candy that is both green and red)
Total number of candies = 7
P(P(green and red)) = Number of green and red candies / Total number of candies
= 0 / 7
= 0
c) P(P(green or blue)):
To find the probability that you select a green or blue candy, you need to determine the number of green or blue candies and divide it by the total number of candies.
Number of green or blue candies = 1 green + 1 blue = 2
Total number of candies = 7
P(P(green or blue)) = Number of green or blue candies / Total number of candies
= 2 / 7
d) P(P(not(green or blue))):
To find the probability that you select a candy that is neither green nor blue, you need to determine the number of candies that are neither green nor blue and divide it by the total number of candies.
Number of candies that are not green or blue = 5 red candies
Total number of candies = 7
P(P(not(green or blue))) = Number of candies that are not green or blue / Total number of candies
= 5 / 7