Prime numbers from the given set
are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,
41,43,47.
∴ Number of primes = 15
∴ Required probability = 15/50 = 3/10 =0.3
CTET Maths MCQ - Algebra
Possible outcomes (5, 6), (6,5).
Total number of outcomes = 36.
Required probability = 2/36 = 1/18
P(A) = 0.3 and P(AUB) = 0.8 .
Since, A and B are independent events.
Let P(B) = x
Then, P(A∩B) =P(A) P(B)
= 0.3 × x = O.3x
Again, by addition theorem
P(AUB) = P(A) + P(B) - P(A∩B).
⇒0.8 = 0.3 + x - O.3x ⇒ 0.5 = 0.7x
X=5/7
Since, A and B are independent events.
Let P(B) = x
Then, P(A∩B) =P(A) P(B)
= 0.3 × x = O.3x
Again, by addition theorem
P(AUB) = P(A) + P(B) - P(A∩B).
⇒0.8 = 0.3 + x - O.3x ⇒ 0.5 = 0.7x
X=5/7
Probability of getting a king = 4/52 = 1/13.
Probability of not getting a king = 1 - 1/13 = 12/13.
According to question,
R + A =10 + (A + j)=> R =10 + J.
So, it is clear that John is 10 yr
younger than Ravi.
