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?
Total number of outcomes = 6 × 6 = 36
Number of outcomes favourable to E = 2. [i.e., (5, 6), (6, 5)]
Let F be the event that the number 5 does not appear on the first die.
Number of outcomes favourable to F = 30
Now, 
Therefore, E and F are not independent events.
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”.
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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