Question

Find each probability for one roll of a number cube:

P(3)
A) 1/6
B) 1/3
C) 2/6
D) 3/6

P(1, 2, or 3)
A) 1/2
B) 1/3
C) 2/3
D) 1/6

P(less than 4)
A) 1/6
B) 2/3
C) 1/3
D) 5/6

Answer 1

The probability of rolling a 3 on a number cube is 1/6, the probability of rolling a 1, 2, or 3 is 1/2, and the probability of rolling a number less than 4 is also 1/2.

Step-by-step explanation:

P(3) is the probability of rolling a 3 on a number cube. Since there are 6 equally likely outcomes when rolling a number cube, and only one of those outcomes is a 3, the probability of rolling a 3 is 1/6.

P(1, 2, or 3) is the probability of rolling a 1, 2, or 3 on a number cube. Out of the 6 equally likely outcomes, 3 of them are 1, 2, or 3. So the probability is 3/6, which simplifies to 1/2.

P(less than 4) is the probability of rolling a number less than 4 on a number cube. The outcomes less than 4 are 1, 2, and 3, which is a total of 3 outcomes out of 6 equally likely outcomes. So the probability is 3/6, which simplifies to 1/2.