Question

1.From a well shuffed deck of 52cards,One card is Drawn at random .What is probability of getting
a)Red queen
b)A number card
c)A black Ace
d)A black card
2.If 2 coins are tossed together find probability of getting two tails ?
3.What is zero probability? Explain with example .
4.A letter is chosen from the word 'MATHEMATICS'.What is the probability of consonant ?
5.A die is tossed once find the probability of
a)A number greater than 5.
b)A number less than 5.
6.There are 45 students in a class in which 25 are boys and rest are girls .
Find probability of a girl?
7.If a wheel spins with 3 yellow sectors and 3 pink sectors ,What is the probability of the pointer stopping at a yellow sector?
8.A box contains 100 bolts .Two fifth are rusted ,one bolt is Drawn at random from box find probability of
a)A rusted bolt
b)Not a rusted bolt .​

Answer 1

In 52 cards getting a one card as 52 times

a.(1) The king in card is two getting in 2 times

Then probability = 52/2 = 26/1

(ii)In 52 cards the king ,queen and joker are three face card.Then total face cards are 12.So these card get 12 times

Then probability = 52/12 = 13/3

(!!!)In 52 cards the red face card are 3 face card.Then total

red face cards are 3.So these card get 6 times

Then probability = 52/6 = 26/3

(iv)In 52 cards the jack of heart card is one .So the getting time card is one

Then probability =$$\frac{1}{52}

(b) (i)In 52 cards the spade cards are 13. So getting time is 13

Then probability = 52/13 = 4/1

(ii)In 52 cards the queen of diamonds is one .So getting time is one

Then probevility= 52/1

(iii)In 52 cards Neither a red card nor a queen the total cards are

24.So time of getting cards are 24

Then probability = 52/24= 13/6

(c) (i)In 52 cards non-face cards are 40.So timie of getting cards are 40.

Then probability = 52/24 = 13/6

(ii)In 52 cards a black king or a red queen are 4.So getting time is 4.

Then probability = 52/4 = 13/1

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The two outcomes (heads or tails) are therefore mututally exclusive; if the coin comes up heads on a single toss, it cannot come up tails on the same toss. ... The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25.

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zero-probability event is an event that never happens. However, this example illustrates that a zero-probability event can indeed happen. Since the sample space provides an exhaustive description of the possible outcomes, one and only one of the sample points will be the realized outcome.

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$\rightarrow{ \bold{ \frac{7}{11} }}$

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Sample space of throwing

a die once ={1,2,3,4,5,6}.

Prime no. less than 5={2,3}.

Probability = Total outcomes/Favourable outcomes

= 6/2 =3/1

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