Let `P(x)` denote the probability of the occurrence of event `xdot` Plot all those point `(x , y)=(P(A),P(B))` in a plane which satisfies the conditions, `P(AuuB)geq3//4a n d1//8lt=P(AnnB)lt=3//8`

Let A and B be two independent events. The probability of their simultaneous occurrence is 1/8 and the probability that neither occurs is 3/8. Find P(A)a n dP(B)dot

Let A and B be two independent events. The probability of their simultaneous occurrence is 1/8 and the probability that neither occurs is 3/8. Find P(A)a n dP(B)dot

Plot the region of the points P (x,y) satisfying |x|+|y| lt 1.

If P_n denotes the product of all the coefficients of (1+ x)^n and 8! P_(n+1)=9^8 P_n then n is equal to

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25 . If P(T) denotes the probability of occurrence of the event T , then (a) P(E)=4/5,P(F)=3/5 (b) P(E)=1/5,P(F)=2/5 (c) P(E)=2/5,P(F)=1/5 (d) P(E)=3/5,P(F)=4/5

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then

If two events A and B are such that P(A) =0.3, P(B)=0.4 and P(A'nnB') =0.5. then find the value of P(B//AuuB')).

The probabilities of three events A ,B ,a n dC are P(A)=0. 6 ,P(B)=0. 4 ,a n dP(C) If P(AnnB)=0. 8 ,P(AnnC)=0. 3 ,P(AnnBnnC)=0.2P(AuuBuuC)>0.85 , then find the range of P(B nn C)dot

Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside O A B which satisfy d(P , O A)lt=min[d(p ,O B),d(P ,A B)] , where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

Let Aa n dB be two event such that P(AuuB)geq3//4 and 1//8lt=P(AnnB)lt=3//8. Statement 1: P(A)+P(B)geq7//8. Statement 2: P(A)+P(B)lt=11//8.