Suppose that you toss a coin and roll a die. What is the probability of obtaining tails or a six? (Enter the probability as a fraction.)
I came up with 1/6 which does not sound right
thank you for you time on this Holiday
pr(tails OR six)=1/2 + 1/6 - .5*1/6
the last term represents both tail and six, which is not allowed, the question is OR.
Well, well, well! Let's calculate the probability of obtaining tails or a six, shall we?
First, we need to figure out the probability of getting tails. Since there are 2 possible outcomes when flipping a coin (heads or tails), and we only want tails, the probability is 1/2.
Next, we consider the probability of rolling a six on a fair die. Since there are 6 possible outcomes (numbers 1 through 6), and we're only interested in rolling a six, the probability is 1/6.
Now, to calculate the overall probability of obtaining tails or a six, we add the probabilities together: 1/2 + 1/6 = 4/6.
Therefore, the probability of obtaining tails or a six is 4/6. But hold your horses! We can simplify that fraction to 2/3.
So, the correct answer is 2/3 or "two-thirds." May the probability be with you on this festive day!
To find the probability of obtaining tails or a six, we first need to determine the individual probabilities of each event and then add them together.
1. Tossing a coin:
- A coin has two equally likely outcomes: heads (H) or tails (T).
- The probability of obtaining tails is 1/2 since there is one outcome of tails out of the two total possible outcomes.
2. Rolling a die:
- A die has six equally likely outcomes: 1, 2, 3, 4, 5, or 6.
- The probability of rolling a six is 1/6 since there is one outcome of rolling a six out of the six total possible outcomes.
To find the probability of obtaining tails or a six, we add the probabilities together:
P(tails or six) = P(tails) + P(six) = 1/2 + 1/6 = 3/6 + 1/6 = 4/6.
Therefore, the probability of obtaining tails or a six is 4/6.
To determine the probability of obtaining tails or a six, we need to find the sum of the individual probabilities.
Let's start by determining the probability of obtaining tails when flipping a coin. Since there are two possible outcomes (heads or tails) and only one of them is tails, the probability of obtaining tails is 1/2.
Next, we need to find the probability of rolling a six on a fair six-sided die. Since there is only one side with a six out of six possible outcomes, the probability of rolling a six is 1/6.
To find the probability of obtaining tails or a six, we add the probabilities of the individual events. So, the probability of obtaining tails or a six is (1/2) + (1/6).
To simplify this fraction, we need a common denominator, which in this case is 6. Writing the fractions with a denominator of 6, we have (3/6) + (1/6).
Adding the numerators, we have 3 + 1 = 4. So, the probability of obtaining tails or a six is 4/6.
However, we need to simplify this fraction. Both the numerator (4) and the denominator (6) are divisible by 2, so we can divide both by 2 to simplify further. This gives us a final probability of 2/3.
Therefore, the correct probability of obtaining tails or a six is 2/3.