Question

In a throw of two dice find the probability of getting one prime and one composite number

Answer 1

ans
2,3,5 are prime
4,6 arecomposite
6/36=1/6

Answer 2

Answer:

Probability of getting one prime and one composite number is $\frac{1}{6}$      

Step-by-step explanation:

Given : In a throw of two dice.

To find : The probability of getting one prime and one composite number?

Solution :

When two dice are thrown then outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

The prime numbers are 2,3,5

The composite number are 4,6.

The favorable outcome of getting one prime and one composite number are (2,4), (2,6) , (3,4), (3,6), (5,4), (5,6) i.e. F=6.

Total number of outcome O= 36.

Probability of getting one prime and one composite number is

$P=\frac{F}{O}$

$P=\frac{6}{36}$

$P=\frac{1}{6}$

Therefore, Probability of getting one prime and one composite number is $\frac{1}{6}$