Cards each marked with one of the numbers 6, 7, 8,....., 15 are

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 Multiple Choice QuestionsShort Answer Type

211. What is the probability that a leap year, selected at random will contain 53 sundays?
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212. A bag contains tickets, number 11,12, 13......30. A ticket is taken out from the bag at random, find the probability that the number on the drawn ticket is (0 a multiple of 7, (ii) greater than 15 and a multiple of 5.
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213.

Cards marked with numbers 3,4, 5,.....,50 are placed in a box and mixed throughly. One card is drawn at random from the box. Find the probability that number on the drawn card is
(i)    divisible by 7
(ii)    a number which is a square.

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214. Cards each marked with one of the numbers 6, 7, 8,....., 15 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with number less than 10?


Total no. of cards : 10 i.e., n(S) = 10
Let A be the favourable outcomes of getting a card with numbers less than 10, then
A = {6, 7, 8, 9}
i.e., n(A) = 4
Therefore,

P(A) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 4 over 10 equals 2 over 5.

 
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215. Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is more than 9. 
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216.

A box has cards numbered 14 to 99. Cards are mixed thoroughly and a card is drawn from the bag at random. Find the probability that the number on the card, drawn from the box is

(i)     an odd number,
(ii)    a perfect square number,
(iii)   a number divisible by 7.


217.

Two unbiased coins are tossed simultaneously. Calculate the probability of getting
(i) exactly one tail.
(ii) exactly two heads.

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218.

Two unbiased coins are tossed. Calculate the probability of getting
(i) At least two tails.
(ii) At most two tails.

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219. Two unbiased coins are tossed. Calculate the probability of getting not less than one head (or at least one head).
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220. A coin is tossed three times. Find the probability of getting 'HEAD' and 'TAIL'.
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