Two numbers are randomly selected and multiplied. Consider two events `E_1 and E_2` defined as `E_1` : Their product is divisible by 5 and `E_2` Unit's place in their product is 5 Which of the following statement(s) is/are correct? (a)`E_1` is twice as likely to occur as `E_2`. (b) `E_1` and `E_2` are disjoint. (c) P(`E_1`/`E_2`)=1/4 (d) P(`E_1`/`E_2`)=1

Two whole numbers are randomly selected and multiplied. Consider two events E_1 and E_2 defined as E_1 : Their product is divisible by 5 and E_2 Unit's place in their product is 5 Which of the following statement(s) is/are correct?

Which of the following is the greates? cos e c1 (b) cos e c2 cos e c4 (d) cos e c(-6)

If E_(1) and E_(2) are two events such that P(E_(1))=1//4 , P(E_(2)//E_(1))=1//2 and P(E_(1)//E_(2))=1//4 , then

If the events E_1, E_2,………….E_n are independent and such that P(E_i^C) = i/(i+1) , i=1, 2,……n, then find the probability that at least one of the n events occur.

If E_1 be the electric field strength of a short dipole at a point on the axis and E_2 that on the perpendicular bisector at the same distance , then

Two cells of e.m.f. E_1 and E_2 have internal resistance r_1 and r_2 . Deduce an expression for equivalent e.m.f. of their parallel combination.

A ship is fitted with three engines E_1,E_2 and E_3 . The engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4 . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1, X_2 and X_3 denote, respectively, the events that the engines E_1, E_2 and E_3 are function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

A ship is fitted with three engines E_1,E_2 and E_3 . The engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4 . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1, X_2 and X_3 denote, respectively, the events that the engines E_1, E_2 and E_3 are function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

A ship is fitted with three engines E_1,E_2 and E_3 . The engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4 . For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1, X_2 and X_3 denote, respectively, the events that the engines E_1, E_2 and E_3 are function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)