A pair of dice are rolled 1,000 time with the following frequencies of outcomes:
Sum 2 3 4 5 6 7 8 9 10 11 12
Frequency 10 30 50 70 110 150 170 140 120 80 70
1. The sum is a prime number or is exactly divisible by 4.
2. The sum is an odd number or exactly divisible by 3.

Respuesta :

Answer:

sum is less than 5 or greater than 8 sum less than 5 is P(g) + P(3) + P(4) = 10 + 30+50 = 90 1000 1000 sum greater than 8 is

Step-by-step explanation:

The probability that the sum is a prime number or is exactly divisible by 4 = 0.63.

The probability that the sum is an odd number or exactly divisible by 3 = 0.65.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

[tex]Probability = \frac{Favorable\ outcomes}{Total\ outcomes}[/tex]

Given data:

Sum      Frequency

2                10

3                30

4                50

5                70

6                110

7                150

8                170

9                140

10               120

11                 80

12                70

P (sum is a prime number or is exactly divisible by 4) = [tex]\frac{630}{1000}[/tex] = 0.63

Favorable outcome = sum is 2, 3, 4, 5, 7, 8, 11, 12.

P(sum is an odd number or exactly divisible by 3) = [tex]\frac{650}{1000}[/tex] = 0.65

Favorable outcome = sum is 3, 5, 6, 7, 9, 11, 12

Learn more about probability here

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