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In Mathematics / High School | 2014-03-04

A number cube is rolled 24 times and lands on 2 four times and on 6 three times.

Find the experimental probability of not landing on a 6.

Asked by Alexander142536

Answer (3)

**Probability **is the **ratio **of the **favorable **event to the **total **number of events. The experimental **probability **of **not **landing on a **6 **is 0.171.
What is probability?
**Probability **means possibility . It deals with the occurrence of a **random **event. The value of probability can only be from 0 to 1. Its basic meaning is something is **likely **to happen .
A **number **cube is **rolled **24 times and lands on 2 **four **times and on 6 **three **times.
The **probability **of **getting **2 will be
P ( 2 ) = 6 1 ​
The **probability **of **getting **6 will be
P ( 6 ) = 6 1 ​
The **probability **of **not **landing on a 6.
P ˉ ( 6 ) = 6 5 ​
The experimental **probability **of **not **landing on a 6 .
P ( not 6 ) = 24 C 5 ​ ∗ ( 6 1 ​ ) 5 ∗ ( 6 5 ​ ) 19 P ( not 6 ) = 0.171
The experimental **probability **of **not **landing on a **6 **is 0.171.
More about the **probability **link is given below.
https://brainly.com/question/795909

Answered by jainveenamrata | 2024-06-24

The experimental probability of not landing on a 6 when rolling a number cube is found by looking at the number of times the number cube was rolled and how many times it did not land on 6. If the cube was rolled 24 times and landed on 6 three times, then it did not land on a 6 a total of 24 - 3 = 21 times.
To calculate the experimental probability, divide the number of times the event of interest occurred by the total number of trials:
P(not landing on a 6) = Number of times not landing on a 6 / Total rolls
P(not landing on a 6) = 21 / 24
After simplifying, we get:
P(not landing on a 6) = 7/8
Therefore, the experimental probability of the number cube not landing on a 6 is 7/8.

Answered by IanMckellen | 2024-06-24

The experimental probability of not landing on a 6 after rolling a die 24 times is 8 7 ​ or 0.875. This means you would not expect to land on 6 approximately 87.5% of the time. This calculation is based on the number of rolls that resulted not in 6 compared to the total rolls.
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Answered by jainveenamrata | 2024-10-01