A die is thrown once, find the probability of getting(i)    a

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 Multiple Choice QuestionsShort Answer Type

421.

Gopibuys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish.
What is the probability that the fish taken out is a male fish?

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422. A game of chance consists of spinning an arrow which comes to rest point at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at


(i)    8? 
(ii)    an odd number?
(iii)    a number greater than 2?
(iv)    a number less than 9?

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423.

A die is thrown once, find the probability of getting
(i)    a prime number.
(ii)    a number lying between 2 and 6.
(iii)    an odd number.


If we throw a die once, then possible outcomes (s) are
S = {1, 2, 3, 4, 5, 6}
⇒    n( S) = 6
(i) Let E be the favourable outcomes of getting a prime number then
    
                     E = {2, 3, 5}
rightwards double arrow space             n(E) = 3

Therefore,    P(E) = fraction numerator straight n left parenthesis straight E right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 6 equals 1 half

(ii) Let F be the favourable outcomes of getting a number lying between 2 and 6, then

                          F = {3, 4, 5}
rightwards double arrow                   n(F) = 3

Therefore,   P(F) = fraction numerator straight n left parenthesis straight F right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 6 equals 1 half
(iii) Let G be the favourable outcomes of getting an odd number, then
                 
                       G = {1, 3, 5}
rightwards double arrow               n(G) = 3
Therefore,     P(G) = fraction numerator straight n left parenthesis straight G right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 6 equals 1 half

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424.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

(i)    a king of red colour.

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425.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

a face card.

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426.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

a red face card.

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427.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting 
the Jack of hearts. 

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428.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting 
 a spade

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429.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting 
the queen of diamonds.

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430.

Five cards - the ten, jack, queen, king and ace of diamonds are well-shuffled with their face down wards. One card is then picked up at random.

(i) What is the probability that the card is a queen?

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