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To find the probability that when rolling a die and tossing a coin, your will obtain an odd on the die OR a heads on the coin, use the addition rule, which is:

P(A) + P(B) - P(A and B) = P(A or B

In this example, event A is tossing heads on the coin, and event B is rolling odd on the die. What you are trying to solve is actually A U B (A union B)

First the sample set of all 12 possible combinations:

S={H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

The 6 heads possible combinations are:

A={H1, H2, H3, H4, H5, H6|

The 6 odd number possible combinations are:

B={H1, H3, H5, T1, T3, T5}

The 3 combinations these sets have in common, A intersect B:

A n B= {H1. H3, H5}

There are 12 possible combinations and 6 of those include a heads on the coin. This is 6/12.

There are 12 possible combinations and 6 of those include an odd on the die. This is 6/12.

There are 12 possible combinations and 3 of those include both an odd on the die, and a heads on the coin. This is 3/12.

6/12 + 6/12 - 3/12 = 9/12

Simplify the above number to 3/4, which is the correct answer to this question.

If you draw a Venn diagram, you will see that the set consisting of tails and evens {T2, T4, T6} falls outside the circles. The diagram makes it easy to see that 9 of the 12 possible combinations fall inside the circle, and 3 of the 12 fall outside.

Hope this helps someone. I solidified the information for myself by writing it!

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fifty fifty for both.

Q: What is the probability of rolling an odd number OR getting a heads when rolling a die and tossing a coin?

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Probability of rolling an even number on a die is 1/2.

The probability of rolling the same number on five dice is (1/6)4, or about 0.0007716.

1/6,3/6 ----------------------------------------------------------------------------------------------------- The probability of rolling a 2 is: P(2) = 1/6 The probability of rolling an even number is: P(even) = 1/2 The result on the second roll is independent of the result in the first roll. The probability of rolling a 2 and then rolling an even number is: P(2,even no.) = (1/6) ∙ (1/2) = 1/12 = 0.08333... ≈ 8.33%

The first roll doesn't matter for probability, it just sets the number to be rolled by the other two. So: P(rolling the same number three times) = P(rolling a particular number)2 = (1/6)2 = 1/36

The experimental probability of anything cannot be answered without doing it, because that is what experimental probability is - the probability that results from conducting an experiment, a posteri. This is different than theoretical probability, which can be computed a priori. For instance, the theoretical probability of rolling an even number is 3 in 6, or 1 in 2, or 0.5, but the experimental probability changes every time you run the experiment.

Related questions

-3/12

Firstly, the probability when tossing a coin and getting a head or tail is 1/2, then rolling a die, there are 6 sides so the chance of rolling any number is 1/6, there are 2 chances of rolling greater than 4 ie 5 and 6, so the probability of rolling a 5 or 6 in 1/3, as these are independent events you multiply the probability getting a heads of tails, (1/2) by the probability of rolling a five or six, (1/3) which gives you 1/6 or 0.1666 recurring.

The probability of a head is 1/2. The probability of an odd number is 1/2. 1/2 x 1/2 = 1/4 or 0.25

There are 36 possibilities when rolling two six sided die. 15 of them result in a prime number (2,3,5,7,11) So the probability is 15 in 36 or a 5 in 12 chance.

The probability of rolling a number less than 5; which is a 4, 3, 2, or 1 is 4/6 or 2/3. The probability of tossing a head is 1/2. So, the probability of a roll less than 5 and a head is 2/3*1/2 or 1/3 or 0.333. 4/12

A die has six sides, so the probability of rolling an even number is 1 in 2, or 50-50. A coin has two sides, so the probability of flipping the coin and getting heads is 1 in 2, or 50-50. The probability that both will happen together is the one in two OF one in two, or one in FOUR chance that both will happen. So, the probability is 25%.

It is 2/3.

Each time you toss the die the probability of rolling an even number is 3 out of 6 or 1/2. So, the probability of tossing three consecutive even numbers is (1/2)3 = 1/8 = 0.125, which is one chance in eight.

The probability of rolling a 2 is 1 in 6. The probability of rolling an even number is 3 in 6. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.

1/2 * 1/2 = 1/4 1/2= probability of landing an even number 1/2 = probability of landing a heads

impossible

It is 1/2.