Important Questions of Probability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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811. A fair coin and an unbiased die are tossed. Let A be the event ‘head appears on the coin’ and B be the event ‘3 on the die’. Check whether A and B are independent events or not.
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812.

A 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?

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813. In the two dice experiment, if E is the even of getting the sum of numbers on dice as 11 and F is the event of getting a number other than 5 on the first die. find P (E and F). Are E and F independent events?

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814.

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”.

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815.

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”.

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816.

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”.

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817.

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”.

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818.

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”.

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819.

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”.

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 Multiple Choice QuestionsLong Answer Type

820. 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?
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