Wihout going any further into the specifics of your question - if you even believe that it may impact your profession - my strong suggestion would be that you retain an attorney to represent you.
The probability of an event is the number of favourable outcomes divided by the total number of possible outcomes. What is the total number of possible outcomes of tossing a number cube? 6 How many outcomes are favourable to the event of getting a five? 1 So the prob is 1/6 or 0.16667
In three flips of a fair coin, there are a total of 8 possible outcomes: T, T, T; T, T, H; T, H, T; T, H, H; H, H, H; H, H, T; H, T, H; H, T, T Of the possible outcomes, four of them (half) contain at least two heads, as can be seen by inspection. Note: In flipping a coin, there are two possible outcomes at each flipping event. The number of possible outcomes expands as a function of the number of times the coin is flipped. One flip, two possible outcomes. Two flips, four possible outcomes. Three flips, eight possible outcomes. Four flips, sixteen possible outcomes. It appears that the number of possible outcomes is a power of the number of possible outcomes, which is two. 21 = 2, 22 = 4, 23 = 8, 24 = 16, .... Looks like a pattern developing there. Welcome to this variant of permutations.
75%. There are 3 possible ways of getting at least one tail from 2 tosses from a coin:Tail & Tail orHead & Tail orTail & HeadEach of these individual outcomes has a probability of 25% (e.g. the probability of getting a tail and then another tail is 25%). Adding the possible outcomes together gives you a total of 75%.
Probability is a ratio written as the number of desired outcomes divided by the number of possible outcomes. On a six-sided number cube, there are 5 chances of getting a number greater than or equal to 2 (2,3,4,5,6) and 6 possible outcomes (1,2,3,4,5,6) so your probability would be 5/6.
In mathematics, particularly in probability theory, "outcomes" refer to the possible results of a random experiment or event. For example, when flipping a coin, the outcomes are heads or tails. An "event" is a specific subset of outcomes that we are interested in, such as getting heads when flipping the coin. Together, outcomes and events help in analyzing and calculating probabilities.
If you don't mind getting thrown out of the game and facing possible criminal assault charges, sure.
1/36.Explanation: There will be 36 possible outcomes when you roll two dice.Let us suppose the first number is the outcome of 1 dice and the second number is the outcome of the second dice. Then we have 36 possible outcomes like : (1,1) , (1,2), (1,3), (1,4), (1,5), (1,6) and so on until (6,6). Note that 6 is the highest possible outcome on any dice.When you add the outcomes of both dice you are supposed to get two. In such a case only one outcome is possible of all the 36 outcomes and that is (1,1).Now, by definition, Probability is (No. of favorable outcomes/Total number of outcomes) = 1/36 in this case.
With 3 coin tosses, the possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT There are 8 possible outcomes and 3 of them have 2 heads. Thus: probability = 3/8 (= 0.375)
The probability of rolling a two on a six-sided die is determined by the number of favorable outcomes divided by the total number of possible outcomes. There is one favorable outcome (rolling a two) and six possible outcomes (rolling a one, two, three, four, five, or six). Therefore, the probability is 1/6.
To find the probability of rolling a sum of seven with two dice, we first determine the total number of possible outcomes, which is 6 (for the first die) multiplied by 6 (for the second die), resulting in 36 possible outcomes. The combinations that yield a sum of seven are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), totaling 6 favorable outcomes. Therefore, the probability of rolling a sum of seven is 6 favorable outcomes divided by 36 possible outcomes, which simplifies to 1/6.
there are 36 possible outcomes and 9 ways to get sums divible by 4, so odds are 1 in 4
Probability is defined as the number of ways an outcome can occur divided by the number of possible outcomes. For the coins, there are 4 outcomes (HH, HT, TH, TT). On the cube, there are 6 possible outcomes. The total number of outcomes is then 4*6 = 24. Since there is only 1 way to obtain HH, look at the cube outcomes. With the HH outcome, the cube would need to fall on a 4. So, there is only 1 way a HH4 can occur. Therefore the probability of getting 2 heads and a four is 1/24 or 0.04167.