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?

Two batteries of emf E_(1) and E_(2)(E_(2) gt E_(1)) and internal resistance r_(1) and r_(2) respectively are connected in parallel as shown in the figure. Then, which of the followings statements is correct ?

Let two fair six-faced dice A and B be thrown simultaneously. If E_1 is the event that die A shows up four, E_2 is the event that die B shows up two and E_3 is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true ? (1) E_1 and E_2 are independent. (2) E_2 and E_3 are independent. (3) E_1 and E_3 are independent. (4) E_1 , E_2 and E_3 are independent.

For any two independent events E_1 and E_2 P{(E_1uuE_2)nn(bar(E_1)nnbar(E_2)} is equal to

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

Let E_1 and E_2 are two mutually exclusive and exhaustive events. If odds are 2:3 against E_1 then odds in favour of E_ 2 are

In the figure shown, at what distance (a) E_2 will appear to E_1 (b) E_1 will appear to E_2

If E and F are two independent events and P(E)=1/3,P(F)=1/4, then find P(EuuF) .

The letters of the word PRABABILITY are written down at random in a row. Let E_1 denotes the event that two Is are together and E_2 denotes the event that B ' s are together, then P(E_1)=P(E_2=3/(11) (b) P(E_1nnE_2)=2/(55) P(E_1uuE_2)=(18)/(55) (d) P((E_1)/(E_2))=1/5

Two cells of emfs E_1 and E_2 and of negligible internal resistances are connected with two variable resistors as shown in Fig. A2.4. When the galvanometer shows no deflection, the values of the resistances are P and Q. What is the value of the ratio E_2/E_1 ?