1
KCET 2021
+1
-0

If $$A, B$$ and $$C$$ are three independent events such that $$P(A)=P(B)=P(C)=P$$, then $$P$$ (at least two of $$A, B$$ and $$C$$ occur) is equal to

A
$$P^3-3 P$$
B
$$3 P-2 P^2$$
C
$$3 P^2-2 P^3$$
D
$$3 P^2$$
2
KCET 2021
+1
-0

Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6 the probability of getting a sum as 3 is

A
$$\frac{1}{18}$$
B
$$\frac{5}{18}$$
C
$$\frac{1}{5}$$
D
$$\frac{2}{5}$$
3
KCET 2021
+1
-0

A car manufacturing factory has two plants $$X$$ and $$Y$$. Plant $$X$$ manufactures $$70 \%$$ of cars and plant $$Y$$ manufactures $$30 \%$$ of cars. $$80 \%$$ of cars at plant $$X$$ and $$90 %$$ of cars at plant $$Y$$ are rated as standard quality. A car is chosen at random and is found to be standard quality. The probability that it has come from plant $$X$$ is :

A
$$\frac{56}{73}$$
B
$$\frac{56}{84}$$
C
$$\frac{56}{83}$$
D
$$\frac{56}{79}$$
4
KCET 2021
+1
-0

If $$P(A)=0.59, P(B)=0.30$$ and $$P(A \cap B)=0.21$$ then $$P\left(A^{\prime} \cap B^{\prime}\right)$$ is equal to

A
0.11
B
0.38
C
0.32
D
0.35
EXAM MAP
Medical
NEET