49.From randomly choose a number from 1 to 8 . Find the probability that, it is a prime number: *
3 points
1/3
1/2
1/8
3/8
please give the answer quick please
Answers
Answer:
P(of getting a prime number) = 1/2
Step-by-step explanation:
Now,
we know that,
There are 8 numbers from 1 to 8
So, total outcomes = 8
Now, prime numbers from 1 to 8 = 2, 3, 5, 7
Thus,
there are 4 prime numbers
So, possible outcomes = 4
Probability = Possible outcomes/Total outcomes
P(of getting a prime number) = 4/8
∴ P(of getting a prime number) = 1/2
Hope it helped and you understood it........All the best
Question :- 49.From randomly choose a number from 1 to 8 . Find the probability that, it is a prime number ?
A) 1/3
B) 1/2
C) 1/8
D) 3/8
Solution :-
given that, a number is choose randomly from 1 to 8 .
So,
→ Number from 1 to 8 are = 1, 2, 3, 4, 5, 6 ,7 and 8 = Total 8 .
Than,
→ Total number of possible outcomes = 8 .
Now, we have to find the probability that, it is a prime number .
Prime Number :-
- A whole numbers greater than 1, that have only two factors , 1 and the number itself.
- 2 is the smallest and only even prime number.
So,
→ Prime number from 1 to 8 are = 2, 3, 5, 7 = Total 4.
Than,
→ Number of favourable outcomes = 4.
Now, we know that,
- Probability = (Number of favorable outcomes) / (Total number of possible outcomes) .
Therefore,
→ Required Probability = (4/8) = (1/2) (Option B) (Ans.)