The six sides of a number cube are labeled 1, 2, 3, 4, 5, and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on tails and you roll a number less than 3?

Cube has sixes faces all are equal in length to form the cube and coin has head part and tail part has a circular shape . Thus the Answer to the Question is 1/6

Explanation :

Thus we conclude that the above mentioned explanation is true

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The theoretical probability that the coin lands on tails and you roll a number less than 3 is 1/6

Step-by-step explanation:

Here is a probability based question.

Firstly, in rolling a coin, there can only be two results. It’s either a head or a tail.

Thus, for a fair coin, the probability that the coin lands on tails is 1/2

Secondly, the probability that a number less than 3 is rolled will be;

count of numbers less than 3/count of all numbers

The numbers less than 3 are just 1 and 2 which makes them 2 in number

So the probability is 2/6 = 1/3

Thus, the theoretical probability that the coin lands on tails and a number less than 3 is rolled will be 1/2 * 1/3 = 1/6

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