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Maths 1 Marks Question

P-1 Probability · Maharashtra Board STD 10 (MSBSHSE - English Medium). 26 questions.

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Question 11 Mark
Form a ‘Road safety commitee’ of two, from 2 boys $\left(B_1, B_2\right)$ and 2 girls $\left(G_1, G_2\right)$. Complete the following activity to write the sample space.
(a) Committee of 2 boys = $\square
$
(b) Committee of 2 girls = $\square
$
(c) Committee of one boy and one girl =
∴ Sample space = {..., ..., ..., ..., ..., ...}
Answer
a) Committee of 2 boys $=B_1, B_2$
b) Committee of 2 girls $=G_1, G_2$
c) Committee of one boy and one girl=Any of the event given in sample space given below is possible
Sample Space, $S=\left\{B_1 G_1, B_1 G_2, B_2 G_1, B_2 G_2\right\}$
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Question 21 Mark
In the month of March 2019, find the days on which the date is a multiple of 5. (see the given page of the calendar)
Answer
The days on which the date is a multiple of 5 are as follows:Multiples of 5 are 5, 10, 15, 20, 25, 30
So,
a) Tuesday (5 March 2019)
b) Sunday (10 March 2019)
c) Friday (15 March 2019)
d) Wednesday (20 March 2019)
e) Monday (25 March 2019)
f) Saturday(30 March 2019)
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Question 31 Mark
The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.
Answer
Sample Space, S = {Red, Purple, Orange, Yellow, Blue, Green}
$\therefore$ Number of events in Sample Space S, n(S) = 6
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Question 41 Mark
For the following experiment write sample space ‘S’ and number of sample points n(S).
Two digit numbers are formed using digits 2, 3 and 5 without repeating a digits.
Answer
Sample Space (S) = {23, 25, 32, 35, 52, 53}
∴n(S) = 6
Hence, the required number of sample spaces is 6.
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Question 51 Mark
One coin and one die are thrown simultaneously.
Answer
Sample Space, S = {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}
$\therefore$ Number of events in Sample Space S, n(S) = 12
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Question 61 Mark
One number from 10 to 20 is written on each card. Select one card randomly.
Answer
11


There are 11 total ways of selecting a card randomly .

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Question 71 Mark
Select one card from the pack of 52 cards.
Answer
52


From a deck of 52 cards, we can select any one card in 52 ways.

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Question 81 Mark
How many possibilities is following? Any day of a week is to be selected randomly.
Answer
7


In a week comprising of 7 days, there are 7 ways to select any day .

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Question 91 Mark
Vanita knows the following sites in Maharashtra. She is planning to visit one of them in her summer vacation.
Ajintha, Mahabaleshwar, Lonar Sarovar, Tadoba wild life sanctuary, Amboli, Raigad, Matheran, Anandavan.
Answer
Count the number of sites.
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Question 101 Mark
A card is drawn from a box containing cards numbered from 1 to 25 .
Answer
$S =\{1,2,3$, $\qquad$ $24,25\} n(S)=25$
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Question 111 Mark
A committee of two is to be formed from 2 men and 3 women for Gram Swachhatta Abhiyan.
Answer
$S =\left\{ M _1 M _2 ; M _1 W_1 ; M _1 W_2 ; M _1 W_3 ; M _2 W_1 ; M _2 W_2\right.$; $\left.M _2 W_3 ; W _{1^{\prime}}, W _2 ; W _{1^{\prime}}, W _3 ; W _{2^{\prime}}, W _3\right) n(S)=10$
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Question 121 Mark
A day is chosen randomly for the meeting of Gram Sevaks in the month of February 2016.
Answer
$S =\{1,2,3$,29) $n(S)=29$
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Question 131 Mark
A ball is drawn from a bag containing 3 red, 3 green and 4 white balls.
Answer
$S =\left\{ R _1, R _2, R _3, G _2, G _2, G _3, W_1, W_2, W_{3^{\prime}}, W _4\right\}$ $n(S)=10$
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Question 141 Mark
A two digit number is to be formed from the digits $0,2,4,6$ without repetitions of digits.
Answer
$S =\{20,24,26,40,42,46,60,62,64\} n(S)=9$
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Question 161 Mark
For the following experiment write sample space ‘S’ and number of sample points n(S).
Two digit numbers are formed using digits 2, 3 and 5 without repeating a digits.
Answer
Sample Space (S) = {23, 25, 32, 35, 52, 53}
∴n(S) = 6
Hence, the required number of sample spaces is 6.
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Question 171 Mark
One coin and one die are thrown simultaneously.
Answer
Sample Space, $S =\{1 H , 1 T , 2 H , 2 T , 3 H , 3 T , 4 H , 4 T , 5 H , 5 T , 6 H , 6 T \}$
$\therefore$ Number of events in Sample Space S, $n(S)=12$
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Question 181 Mark
One number from 10 to 20 is written on each card. Select one card randomly.
Answer
11
There are 11 total ways of selecting a card randomly .
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Question 191 Mark
Select one card from the pack of 52 cards.
Answer
52
From a deck of 52 cards, we can select any one card in 52 ways.
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Question 201 Mark
How many possibilities is following? Any day of a week is to be selected randomly.
Answer
7
In a week comprising of 7 days, there are 7 ways to select any day .
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Question 211 Mark
Vanita knows the following sites in Maharashtra. She is planning to visit one of them in her summer vacation.
Ajintha, Mahabaleshwar, Lonar Sarovar, Tadoba wild life sanctuary, Amboli, Raigad, Matheran, Anandavan.
Answer
Count the number of sites.
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Question 221 Mark
A two digit number is to be formed from the digits $0,2,4,6$ without repetitions of digits.
Answer
$S =\{20,24,26,40,42,46,60,62,64\} n(S)=9$
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Question 231 Mark
A day is chosen randomly for the meeting of Gram Sevaks in the month of February 2016.
Answer
$S =\{1,2,3$,29) $n(S)=29$
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Question 241 Mark
A committee of two is to be formed from 2 men and 3 women for Gram Swachhatta Abhiyan.
Answer

$S =\left\{ M _1 M _2 ; M _1 W_1 ; M _1 W_2 ; M _1 W_3 ; M _2 W_1 ; M _2 W_2\right.$; $\left.M _2 W_3 ; W _{1^{\prime}}, W _2 ; W _{1^{\prime}}, W _3 ; W _{2^{\prime}}, W _3\right) n(S)=10$
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Question 251 Mark
A card is drawn from a box containing cards numbered from 1 to 25 .
Answer
$S =\{1,2,3$, $\qquad$ $24,25\} n(S)=25$
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Question 261 Mark
A ball is drawn from a bag containing 3 red, 3 green and 4 white balls.
Answer
$S =\left\{ R _1, R _2, R _3, G _2, G _2, G _3, W_1, W_2, W_{3^{\prime}}, W _4\right\}$ $n(S)=10$
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