Question

Which theoretical probabilities are equal to 1/3? Check all that apply.

rolling an even number on the first roll

landing on a star space on the first roll

landing at Cat Town on the first roll

not landing on a question mark or star on the first roll

rolling a number greater than 4 on the first roll

Answer 1

Answer:

Assuming your rolling a six sided die, then the answers should be all of these:

landing on a star space on the first roll

not landing on a question mark or star on the first roll

rolling a number greater than 4 on the first roll

Answer 2

Answer:

2nd 4th and 5th theoretical probabilities are equal to 1/3.

Step-by-step explanation:

If a dice with six faces, having numbers (1-6) on each face is being rolled.

We will use the formula

$P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}$

(1) rolling an even number on the first roll.

Favorable outcome = 2,4,6 (3 numbers)

$P=\frac{3}{6}=\frac{1}{2}$

(2) Landing on a star space on the first roll.

Maximum numbers of stars to be reached in first roll = 2

$P=\frac{2}{6}=\frac{1}{3}$

(3) Landing at Cat Town on the first roll is not possible because it is at 9th place. and we can reach at 6 place on first roll only.

Therefore, $P=\frac{0}{6}$ =0

(4) Not landing on a question mark or star on the first roll.

Only 1 and 2 place has not question mark or star out of 6 places.

Favorable outcome will be = 2 (1 and 2)

$P=\frac{2}{6}=\frac{1}{3}$

(5) Rolling a number greater than 4 on the first roll.

Favorable outcome = 2 ( 5 and 6)

$P=\frac{2}{6}=\frac{1}{3}$

Therefore, 2nd 4th and 5th theoretical probabilities are equal to 1/3.