Respuesta :

Answer:

[tex]P_x=0.7407407407 \approx 0.74[/tex]

Step-by-step explanation:

From the question we are told that

Dice rolls n=200

Number of dice =2

Generally sample space for Two 6-sided dice is [tex]n=36[/tex]

The sums of five bears the following events

[tex]E={(1,4)(2,3)(3,2)(4,1)}=>4[/tex]

Probability of getting a sum of 5 in a roll

[tex]P(sum 5)=\frac{4}{36}[/tex]

Generally the probability that two dice rowed will include 30 sums of 5

[tex]P_x=\frac{4(200)}{36(30)}[/tex]

[tex]P_x=0.7407407407 \approx 0.74[/tex]

The probability of getting more than 30 sums of 5 out of 200 rolls is 1/6.

What is probability?

Probability is the measurement of possibilities.

Number of rolls =200

Number of dice =2

Sample space for a sum of 5 will be (1,4) (2,3), (3,2),(4,1)

Total outcomes = 36

So, the probability of getting 5 as a sum in a single roll= 4/36 =1/9

So, the probability of getting more than 30 sums of 5 out of 200 rolls

= 1/9 *30/200

=1/6

Hence, the probability of getting more than 30 sums of 5 out of 200 rolls is 1/6.

To get more about probability visit:

https://brainly.com/question/24756209