Suppose X = sum
Pr(X = 3n where n is an integer or X>4)
= 1 - Pr(X ≠3n and X ≤ 4)
= 1 - pr(X = 2 or X = 4) since these are the only two outcomes that meet the requirements of the event.
= 1 - [Pr(X=2) + Pr(X=4)]
= 1 - [1/36 + 3/36]
= 1 - 4/36 = 1 - 1/9
= 8/9
The probability is 0.88... recurring.
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.
FALSE. The probability of success (or anything else) cannot be greater than 1.0
COnsider some event A and the number of outcomes that are favourable to A. Then the probability of A is the number of such outcomes as a proportion of all possible outcomes (related to the trial or experiment). Defined as a proportion in this way, it can never be greater than 1. Converted to a percentage, that means it can never be greater than 100 percent.
Total different outcomes = 6Successful outcomes = 3 (rolls of 4, 5, or 6)Probability of success = 3/6 = 1/2 = 50%
The probability is 0.88... recurring.
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.
Probability values are never negative and are always between 0-1 according to the definition Probability of A= Number of outcomes classified as A/Total number of possible outcomes
FALSE. The probability of success (or anything else) cannot be greater than 1.0
COnsider some event A and the number of outcomes that are favourable to A. Then the probability of A is the number of such outcomes as a proportion of all possible outcomes (related to the trial or experiment). Defined as a proportion in this way, it can never be greater than 1. Converted to a percentage, that means it can never be greater than 100 percent.
It is not possible to have a probability greater than 1. All probabilities are between 0 and 1, inclusive.
The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.
Total different outcomes = 6Successful outcomes = 3 (rolls of 4, 5, or 6)Probability of success = 3/6 = 1/2 = 50%
yes
The probability is 35/36.
Your question is not clear, but I will attempt to interpret it as best I can. When you first learn about probability, you are taught to list out the possible outcomes. If all outcomes are equally probable, then the probability is easy to calculate. Probability distributions are functions which provide probabilities of events or outcomes. A probability distribution may be discrete or continuous. The range of both must cover all possible outcomes. In the discrete distribution, the sum of probabilities must add to 1 and in the continuous distribtion, the area under the curve must sum to 1. In both the discrete and continuous distributions, a range (or domain) can be described without a listing of all possible outcomes. For example, the domain of the normal distribution (a continuous distribution is minus infinity to positive infinity. The domain for the Poisson distribution (a discrete distribution) is 0 to infinity. You will learn in math that certain series can have infinite number of terms, yet have finite results. Thus, a probability distribution can have an infinite number of events and sum to 1. For a continuous distribution, the probability of an event are stated as a range, for example, the probability of a phone call is between 4 to 10 minutes is 10% or probability of a phone call greater than 10 minutes is 60%, rather than as a single event.
With two six-sided dice, there are 36 possible outcomes. Let's look at the outcomes which the sum is less than or equal to 4: {1.1 1.2 1.3 2.1 2.2 3.1} That's 6 outcomes, which leaves 30 outcomes with greater than 4. So 30/36 = 5/6 or 83.333%