M&m plain candies come in various colors. according to the mm/mars department of consumer affairs the distriction of colors for plain mm candies is as follows. purple 17% yellow 17% red 20% orange 10% green 6% blue 6% brown 24%.
find p(green or blue)are these mutually exclusive and why?
find the (yellow or red) are these mutally exclusive. why?
is green considered a mixture of blue and yellow?
If not, the green and blue are exclusive events.
To find the probability of getting green or blue M&M candies, you need to add their individual probabilities because they are not mutually exclusive. The probability of green M&Ms is given as 6% (0.06), and the probability of blue M&Ms is also 6% (0.06). Therefore, to find the probability of getting green or blue M&Ms, you can add the two probabilities:
P(green or blue) = P(green) + P(blue) = 0.06 + 0.06 = 0.12 or 12%
Now, let's answer the second part:
To find the probability of getting yellow or red M&M candies, you also need to add their individual probabilities. The probability of yellow M&Ms is given as 17% (0.17), and the probability of red M&Ms is given as 20% (0.20). Therefore, to find the probability of getting yellow or red M&Ms:
P(yellow or red) = P(yellow) + P(red) = 0.17 + 0.20 = 0.37 or 37%
Now, let's discuss whether these events are mutually exclusive or not:
Two events are considered mutually exclusive if they cannot occur simultaneously. In the case of M&M candies, green and blue M&Ms are not mutually exclusive because there can be M&Ms that are both green and blue. However, yellow and red M&Ms are also not mutually exclusive because there can be M&Ms that are both yellow and red. Hence, neither green/blue nor yellow/red are mutually exclusive events.