# a die is rolled find the probability that the number obtained is greater than 4

## a die is rolled find the probability that the number obtained is greater than 4 ### Question:

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

### Probability:

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.

## some of the answers have been verified : 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

## F.A.Q a die is rolled find the probability that the number obtained is greater than 4

### 1. If you roll a dice four times, is it possible to calculate the likelihood that a prime number or a number that is divisible by 6 would come up?

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.

### 2. When you roll a dice, what is the likelihood that you won’t get a 4 very often?

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.

### 3. What is the likelihood of first rolling a number that is lower than four and then rolling a number that is higher than three?

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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