Answer:
If Andres asks for a random selection of 12 cupcakes, the Probability of choosing:
a)exactly 6 red velvet?
The probability that 6 will be red velvet = 6/12 x 14.3% = 7.2%
(b)exactly 3 each of 4 different kinds?
Since 3 x 4 = 12
The probability that the 12 will be 3 each from 4 different kinds
= 14.3%
(c)no lemon?
Probability of getting a lemon cupcake = 1/7 = 14.3%
Therefore, probability of not getting a lemon cupcake = 100% - 14.3% = 85.7%
(d)at least 1 German chocolate and at least one chocolate raspberry?
The probability of at least 2 being 1 German and 1 chocolate raspberry
= 2/12
= 16.67%
Step-by-step explanation:
a) Probability of each kind of Cupcake
Kind of Cupcakes Quantity Probability
chocolate raspberry 12 14.285%
strawberry shortcake 12 14.3%
red velvet 12 14.3%
funfetti 12 14.3%
lemon 12 14.3%
German chocolate 12 14.3%
chocolate caramel 12 14.3%
b) The probability of choosing a kind of cupcake is the chance that, for example, a strawberry cupcake is chosen instead of the other six kinds. It expresses the opportunity that an event has in happening out of many other events that could have happened.
