Question

8. Four people enter their names into a

Answer 1

Answer:

The probability that Ang wins  and is given a mug is 0.125.

Step-by-step explanation:

Denote the events as follows:

R = Rob wins

S = Sonja wins

J = Jack wins

A = Ang wins

T =  the winner gets a T-shirt

M = the winner gets a Mug

Since any of the four people could be winner the probability of each person winning is same, i.e.

P (R) = P (S) = P (J) = P (A) = 0.25

There only two prizes to select from.

So, the winning person gets any of the two prizes with probability 0.50.

Consider the tree diagram attached.

Compute the probability that Ang wins  and is given a mug as follows:

$P(A\cap M) = P (M|A)\times P (A)\\= 0.50\times 0.25\\=0.125$

Thus, the probability that Ang wins  and is given a mug is 0.125.