Home
Class 12
MATHS
Let two fair six-faced dice A and B be t...

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.

A

`E_2 and E_3` are independent

B

`E_1 and E_3` are independent

C

`E_1 and E_3` are independent

D

`E_1 and E_2` are independent

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event 'the number appearing is even' then find whether E and F are independent ?

A die is rolled. Let E be the event ''die shows 4'' and F be the event ''die shows even number''. Are E and F mutually exclusive ?

A coin is tossed three times is succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then P(E | F) = ………

Three coins are tossed simultaneously. Consider the event E 'three heads or three tails', F 'at least two heads' and G ‘at most two heads'. Of the pairs (E,F), (E,G) and (F,G), which are independent? which are dependent?

A fair coin and an unbiased dice are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the dice' . Check whether A and B are independent events or not.

Prove that if E and F are independent events, then so are the events E and F'.

Suppose E_1, E_2 and E_3 be three mutually exclusive events such that P(E_i)=p_i" for "i=1, 2, 3 . If p_1, p_2 and p_3 are the roots of 27x^3-27x^2+ax-1=0 the value of a is

A dice marked 1, 2, 3 in red colour and 4, 5, 6 in green colour is tossed. Let A be the event, 'the number is even,' and B be the event, ' the number is marked with red'. Does A and B independent ?

Which of the following differential equations has y = c_(1)e^(x) + c_(2)e^(-x) as the general solution?