Question

A number cube is tossed 8 times. What is the probability that the cube never lands on 3?.

Answer 1

The probability that the cube never lands on 3 is (D) 23.3%.

What is probability?

• A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

To find the probability that the cube never lands on 3:

Given -

• Number cube toss = 8

Required

• Probability of not landing on 3.

First, we need to get the probability of landing on 3 in a single toss.

For a number cube,

• n(3) = 1 and n(total) = 6

So, the probability is P(3) = 1/6

First, we need to get the probability of not landing on 3 in a single toss.

Opposite probability = 1.

• So, P(3) = P(3') = 1.

Make P(3') the subject of the formula.

• P(3') = 1 - P(3)
• P(3') = 1 - 1/6
• P(3') = 5/6

In 8 toss, the required probability is (P(3'))⁸

This gives:

• P = (5/6)⁸
• P = 390625/1679616
• P = 0.23256803936

Approximate to 1 decimal place, P = 23.3%.

Therefore, the probability that the cube never lands on 3 is (D) 23.3%.

Know more about probability here:

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The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?

A. 6.0%

B. 10.4%

C. 16.7%

D. 23.3%