What is the probability of obtaining tails or a five
To find the probability of obtaining tails or a five, we need to know how many possible outcomes there are and how many favorable outcomes there are.
Let's assume we are flipping a fair coin and rolling a fair six-sided die.
1. Coin flip: There are two possible outcomes, either heads or tails.
2. Die roll: There are six possible outcomes, rolling a 1, 2, 3, 4, 5, or 6.
To find the total number of outcomes, we multiply the number of outcomes for each event:
Total number of outcomes = 2 (coin flip) * 6 (die roll) = 12.
Now, let's determine the favorable outcomes, which are outcomes where we obtain tails or a five.
1. Coin flip: There is only one favorable outcome, which is obtaining tails.
2. Die roll: There is one favorable outcome, rolling a five.
To find the total number of favorable outcomes, we add the number of outcomes for each event:
Total number of favorable outcomes = 1 (coin flip) + 1 (die roll) = 2.
Finally, we can find the probability by dividing the number of favorable outcomes by the number of total outcomes:
Probability = Total number of favorable outcomes / Total number of outcomes = 2 / 12 = 1/6 ≈ 0.1667.
Therefore, the probability of obtaining tails or a five is approximately 0.1667 or 16.67%.
To find the probability of obtaining tails or a five in a single coin toss, we first need to determine the sample space, which is the set of all possible outcomes. In this case, the sample space consists of two outcomes: heads (H) and tails (T).
Next, we identify the event of interest, which includes obtaining tails and/or a five. Since we do not have any information about a five, we can assume that it is not applicable in this context. Therefore, the event of interest becomes obtaining tails.
Now, we calculate the probability of the event. Since the sample space has two outcomes (H and T) and the event of interest has only one outcome (T), the probability can be determined by dividing the number of favorable outcomes (1) by the number of possible outcomes (2). Therefore, the probability of obtaining tails is 1/2 or 0.5, which can also be expressed as 50%.