Question

0 24 A die was rolled 100 times and number of times 6 cames up was noted if the
experimental probability calculated from the information is then how many times 6
came up experimental probability calculated from the information is 3 upon8 then how many times 6 came up​

Answer 1

QUESTION:

A die was rolled 100 times and number of times 6 cames up was noted. If the

experimental probability calculated from the information is 2/5 then how many times 6 came up?

ANSWER:

Given:

• No. of times a die was rolled = 100
• Experimental Probability of getting no. 6 = 2/5

To Find:

• No. of times 6 came up.

Solution:

We know that,

$:\hookrightarrow\text{Probability of an Event}=\dfrac{\text{No. of favourable outcomes}}{\text{Total outcomes}}$

Let the number of times the number 6 came up be x.

We are given that, Experimental Probability is 2/5 and Total outcomes is 100.

So,

$:\implies\sf\dfrac{2}{5}=\dfrac{\text{x}}{\text{100}}$

On cross-multiplying,

$:\implies\text{100 \times 2 = x \times 5}$

So,

$:\implies\text{200 = 5x}$

$\sf:\implies\text{x = }\dfrac{200\!\!\!\!\!\!/^{\:\:\:40}}{5\!\!\!/}$

So,

⇒ x = 40

Therefore, the number 6 came up 40 times.