Question

answer math equation please​

Answer 1

Given: a² - 3a + 2 = 0

To Find the probability that 'a' is a prime

number

Solution:

a² - 3a + 2 = 0

=> a² - 2a - a + 2 = 0

=> a( a - 2) - 1(a - 2) = 0

=> (a - 2)(a - 1) = 0

=> a = 2, a = 2

Hence all possible values of A are = 1 and 2

1 is not prime while 2 is prime.

S = {1, 2} n(S) = 2

E is the event that a is a prime number

E = {2}

n(E) = 1

P(E) = n(E)/n(S) = 1/2

Hence Probability that 'a' is a prime number

is 1/2

Answer 2

Answer:

1/2.

Step-by-step explanation:

Solving for a:

a^2 - 3a + 2 = 0

(a - 2)(a - 1) = 0

so a = 1, 2.

There are  two roots of which one root (2) is prime  so the required probability is 1/2.