MDTP Probability

Question 1

A fair coin is tossed twice. What is the probability of getting two heads?

Accepted Answer

1/4

Answer

P(HH) = P(H) × P(H) = 1/2 × 1/2 = 1/4 since the tosses are independent.

Question 2

A standard die is rolled once. What is the probability of rolling a number greater than 4?

Accepted Answer

1/3

Answer

Numbers greater than 4 are 5 and 6, so probability = 2/6 = 1/3.

Question 3

In a class of 30 students, 12 play sports. If one student is chosen at random, what is the probability they do NOT play sports?

Accepted Answer

3/5

Answer

Students not playing sports = 30 - 12 = 18; P = 18/30 = 3/5.

Question 4

What is the probability of drawing an ace from a standard 52-card deck?

Accepted Answer

1/13

Answer

There are 4 aces in 52 cards, so P = 4/52 = 1/13.

Question 5

Two events A and B are mutually exclusive. P(A) = 0.3 and P(B) = 0.4. What is P(A or B)?

Accepted Answer

0.7

Answer

For mutually exclusive events, P(A or B) = P(A) + P(B) = 0.3 + 0.4 = 0.7.

MDTP - Mathematics Diagnostic Testing Project Practice Test