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A dice is rolled. Find the probability that the number obtained is greater than 4.

Suppose n(A) refers to the number of elements in the set containing all outcomes of event A and n(S) counts the exhaustive outcomes of a random experiment.

Then, dividing n(A) by n(S) produces a probability.

, former Maths B.T.Asst Teacher (Retired) at P.S.G Sarvajana Hr.Sec School (1999-2010)

When a die is rolled we get the following outcomes

S= { 1 , 2 , 3 , 4 , 5 , 6 }

n(S) = 6

Numbers greater than 4 are { 5 , 6 }

Required probability is 2/6 = 1/3

, PhD student

I will assume that the die is 6 sided and fair. Hence, there are 6 possible outcomes each of which is equally likely(uniform probability law).

Let E be the event that we get a number greater than 4 on tossing the die. E={5,6} and cardinality of E is 2. Now we can use discrete uniform law to find the probability of Event E.

P(E)= (cardinality of E )/(cardinality of sample space)=2/6=1/3

, BS, MS Physics & Mathematics, Massachusetts Institute of Technology (1977)

A standard 6-sided die numbered 1–6 has 2 sides that meet the criterion of greater than 4, namely 5 and 6. So there are 2 ways out of 6, so the probability is 2/6=1/3. You have a 1/3 chance of rolling greater than a 4.

[If you had stated at least a 4, then there would be 4,5,6 that meet the criterion, and your chance would then be 3/6=1/2.]

, BS Secondary Math Education & Statistics, The University of Connecticut (1987)

A standard die has 6 sides. 2 of the 6 sides (the 5 and the 6) have numbers that are greater than 4. Since only 2 sides are greater than 4 and since all the sides are equally likely when you roll a die, the answer is 1/3 (2 divided by 6).

The possible outcomes are 2, 3, 5, and 6, hence the probability is equal to two out of three.

cbinomial ab(4, 2/3, 1, 4) = 0.9876543209876543 one to four successes. cbinomial ab(4, 2/3, 1, 4) = 0.9876543209876543.

I am going to presume that the die you are using is a regular fair die with six sides.

In this scenario, the likelihood that you will not roll a 4 is five out of six, which is equivalent to around 83.33 percent.

This is due to the fact that a typical die with six sides has five integers other than the number four.

Assuming that the die is impartial and standard, the chance of rolling a number that is lower than four is equal to one half. In the same vein, the likelihood of obtaining a number higher than three is likewise half. The likelihood of both occurring is one quarter.

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