suppose a fair coin is tossed and a six-sided number cube is rolled. what is the probability that the coin lands on tails in the outcome on the number cube is a number less than 3? A.) 1/6 B.) 1/12 C.) 1/9 D.) 1/3​

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Hey

Since a coin has 1/2 chances on both sides and a six-sided cube has 1/3 chance of getting a less than three, multiply those chances and you will get the probability of 1 / 6

So the answer is option A, [tex]\frac{1}{6}[/tex]

The probability that the coin lands on tails in the outcome on the number cube is a number less than 3 is 1/6.

What is the probability that the coin lands on tails in the outcome on the number cube is a number less than 3?

Given:

  • Suppose a fair coin is tossed
  • And a six-sided number cube is rolled.

Find:

  • The probability that the coin lands on tails in the outcome on the number cube is a number less than 3.

Solution:

A coin is tossed and a six-sided cube is rolled.

We have to find the probability of getting a tail on the coin and a number less than 3 in the cube.

The probability of getting a tail in the coin is 1/2.

The probability of getting a number less than 3 is 2/6 = 1/3.

Probability of getting a tail on the coin and a number less than 3 on a cube is 1/2*1/3 = 1/6.

Hence, The probability that the coin lands on tails in the outcome on the number cube is a number less than 3 is 1/6.

Therefore, Option A is the correct answer.

To learn more about probability, refer to:

https://brainly.com/question/3151088

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