Question

4. A shop has 16 flavours of potato chips to choose from, and six of them are spicy flavours. A young customer picks four bags of these 16 chip varieties at random (there is a sale at 4 for $10). What is the probability that of the four bags of chips selected
   1. None of them will be spicy?
   2. Three of them will be mild (not spicy)?
   3. More than two will be a spicy flavour? ** For this question, carry four decimal places.

Answer 1

Let, X = number of spicy chips bags

X follows Binomial distribution with paramter n=4 and p = 6/16.

The pmf of X is

a.

b.

Three of them will be mild means only one is spicy.

c.