Short Answer TypeA die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event 'the number is even', and B be the event, 'the number is red'. Are A and B independent?
One card is drawn at random from a pack of well-shuffled deck of 52 cards. In which of the following cases are the events E and F are independent?
E : “the card drawn is a spade”
F : “the card drawn is an ace”.
One card is drawn at random from a pack of well-shuffled deck of 52 cards. In which of the following cases are the events E and F are independent?
E : “the card drawn is black”,
F : “the card drawn is a king”.
One card is drawn at random from a pack of well-shuffled deck of 52 cards. In which of the following cases are the events E and F are independent?
E : “the card drawn is a king or queen”
F : “the card drawn is a queen or jack”.
A coin is tossed thrice. In which of the following cases are the events E and F independent?
E : the first throw results in head”.
F : “the last throw results in tail”.
Here, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
P(E) = P(HHH, HHT, HTH, HTT) = 
P(F) = P(HHT, THT, HTT, TTT) = 
A coin is tossed thrice. In which of the following cases are the events E and F independent?
E : “the number of heads is two”.
F : “the last throw results in head”.
A coin is tossed thrice. In which of the following cases are the events E and F independent?
E : “the number of heads is odd”.
F : “the number of tails is odd”.
Long Answer Type
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