16
47
421
37
Correct answer is B
P(X⋃Y)=58
P(X⋂Y)=P(X)×P(Y)
Since X and Y are independent events, the probability of their union (X ⋃ Y) can be calculated as:
P(X⋃Y)=P(X)+P(Y)−P(X⋂Y)
=58=18+P(Y)−18×P(Y)
=58−18=P(Y)−18×P(Y)
=12=P(Y)(1−18)
=12=P(Y)(78)
=P(Y)=12÷78
∴P(Y)=\frac{1}{2}x\frac{8}{7}=\frac{4}{7}
Simplify \frac{^{n}P_{5}}{^{n}C_{5}}...
If (x + 2) and (3x - 1) are factors of 6x^{3} + x^{2} - 19x + 6, find the third factor....
Evaluate \lim \limits_{x \to 1} \frac{1 - x}{x^{2} - 3x + 2}...
Find the radius of the circle 2x^2 - 4x + 2y^2 - 6y -2 = 0. ...
If 2i +pj and 4i -2j are perpendicular, find the value of p. ...
Find the direction cosines of the vector 4i - 3j....
Find the coordinates of the centre of the circle 3x^{2}+3y^{2} - 4x + 8y -2=0...
Given that f : x \to x^{2} and g : x \to x + 3, where x \in R, find f o g(2)....
The equation of the line of best fit for variables x and y is y = 19.33 + 0.42x, where x is the ...