MDTP Probability 3

Question 1

A fair six-sided die is rolled. What is the probability of rolling an even number?

Accepted Answer

1/2

Answer

Even numbers on a die are 2, 4, 6 — three outcomes out of six, giving probability 3/6 = 1/2.

Question 2

If P(A and B) = 0.12 and P(A) = 0.4, what is P(B|A)?

Accepted Answer

0.3

Answer

P(B|A) = P(A and B) / P(A) = 0.12 / 0.4 = 0.3.

Question 3

How many outcomes are possible when rolling two dice?

Accepted Answer

36

Answer

Each die has 6 faces, so total outcomes = 6 × 6 = 36.

Question 4

A box has 3 defective and 7 good items. What is the probability a randomly selected item is good?

Accepted Answer

0.7

Answer

P(good) = 7/10 = 0.7.

Question 5

Two independent events each have probability 1/3. What is the probability that NEITHER occurs?

Accepted Answer

4/9

Answer

P(neither) = P(not A) × P(not B) = (2/3)(2/3) = 4/9.

MDTP - Mathematics Diagnostic Testing Project Practice Test