A coin is tossed and a number cube is rolled. What is the probability that the coin show heads and the number cube shows 5
This is called independent statistics. It explains how likely 2 unique and unrelated variables interact. The basic equation is (1st odds)*(2nd odds). A cube has 6 faces, and a coin has two sides. Therefore the cube rolling ANY number, such as 5 is 1/6 and the coin showing EITHER side, such as tails, is 1/2. 1/6*1/2=1/12.
To find the probability of both events occurring, we need to multiply the probabilities of each individual event.
The probability of the coin showing heads is 1/2 (assuming a fair coin), since there are two equally likely outcomes - heads or tails - and we're interested in the specific outcome of heads.
The probability of the number cube showing a 5 is 1/6 (assuming a fair six-sided cube), as there are six equally likely outcomes - the numbers 1, 2, 3, 4, 5, and 6 - and we're interested in the specific outcome of 5.
To calculate the probability of both events occurring, we multiply the two probabilities:
Probability = (1/2) * (1/6) = 1/12
Therefore, the probability that the coin shows heads and the number cube shows 5 is 1/12.