Two dice are thrown simultaneously. Find the probability that th

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 Multiple Choice QuestionsShort Answer Type

181.

A die is thrown once. Find the probability of getting
(i) an odd number.
(ii) a number greater than 4.
(iii) seven.

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182. A die is thrown once. Find the probability of getting
(i)    a prime number
(ii)    a number divisible by 2
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183. Two dice are thrown simultaneously. Find the probability that the sum of the two numbers appearing on the top is less than or equal to 10.


Let A be the favourable outcomes of getting the sum of the two numbers appearing on the top is less than or equal to 10, then

A = (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2.1),    (2,2), (2,3), (2,4), (2,5), (2,6)

(3.1),    (3,2), (3,3), (3,4), (3,5), (3,6)

(4.1),    (4,2), (4,3), (4,4), (4,5), (4,6)

(5.1),    (5,2), (5,3), (5,4), (5,5)

(6.1),    (6,2), (6,3)/ (6,4) i.e., n( A) = 33

Therefore,  

rightwards double arrow space space space space space space space space straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 33 over 36 equals 11 over 12

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184.

A pair of dice is thrown once. Find the probability of getting a total of 5 on two dice.

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185. A pair of dice is thrown once. Find the probability of getting the same number on each dice. 
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186.

Two dice are thrown simultaneously. What is the probability that
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come at both dice?

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187.

Two dice are thrown simultaneously. Find the probability of getting :
(i) a sum less than 6 (ii) a sum less than 7
(iii) a sum more than 7 (iv) 8 as the sum

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188. A deck of 52 cards is shuffled. Tanvika draws a single card from the deck at random. What is the probability that the card is a Jack.
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189.

A card is drawn from a pack of 52 playing cards. What is the probability that it is

(i) an ace
(ii)    a face card
(iii)    any card numbered from 2 to 10?

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190.

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is :
(i) red    (ii) either red or king
(iii) red and a king (iv) a red face card
(v) ‘2’ of spades (vi) ‘10’ of a black suit.

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