Question

39
multiphchoice 2 points
the four faces of a fair tetrahedron die are numbered 1, 2, 3, and 4. in two tosses of
the die, the probability of obtaining exactly two 4s is
1/16
1/4
1/2
1/8

Explanation:

Step1: Determine the probability of getting a 4 in one toss

The die has 4 faces. The probability of getting a 4 in one toss is \(P(4)=\frac{1}{4}\)

Step2: Use the multiplication rule for independent events

Since the two tosses are independent events, the probability of getting a 4 in the first toss and a 4 in the second toss is \(P = P(4)\times P(4)\)
Substitute \(P(4)=\frac{1}{4}\) into the formula: \(P=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}\)

Answer:

A. \(\frac{1}{16}\)