1. A die is rolled once. What is the probability of rolling:
(a) 3
(b) 7
(c) an even number
(d) a prime number?
.
C
Answers
Answer:
a) 1/6
b) 0/6
c) 1/2
d) 1/2
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Solution :-
It is Given that,
A die is rolled once and we have to calculate the probability of rolling :- 3, 7, An even number and a prime number.
Formula Used :-
Probability = Favorable Outcomes/Total Outcomes.
(A) 1/6.
We have to calculate the probability of 3.
As 3 occurs only 1 time in the dice,
Favorable Outcome = 1.
And,
Total Outcomes = 6.
➨ Probability = Favorable Outcomes/Total Outcomes.
➨ Probability = 1/6.
(B) 0/6.
We have to calculate the probability of 7.
As 7 doesn't occurs in the dice,
Favorable Outcome = 0.
And,
Total Outcomes = 6.
➨ Probability = Favorable Outcomes/Total Outcomes.
➨ Probability = 0/6.
(C) 1/2.
We have to calculate the probability of an even number.
Even Numbers in a dice :- 2, 4 and 6.
So, Favorable Outcomes = 3.
And,
Total Outcomes = 6.
➨ Probability = Favorable Outcomes/Total Outcomes.
➨ Probability = 3/6.
➨ Probability = 1/2.
(D) 1/2.
We have to calculate the probability of an prime number.
Prime Numbers in a dice :- 2,3 and 5.
So, Favorable Outcomes = 3.
And,
Total Outcomes = 6.
➨ Probability = Favorable Outcomes/Total Outcomes.
➨ Probability = 3/6.
➨ Probability = 1/2.
Therefore, The Answers are :-
- (A) = 1/6.
- (B) = 0/6.
- (C) = 1/2.
- (D) = 1/2.