Practice Set 5.2 Probability Class 10th Mathematics Part 1 MHB Solution

Practice Set 5.2

1. For each of the following experiments write sample space ‘S’ and number of sample…
2. The arrow is rotated and it stops randomly on the disc. Find out on which colour it may…
3. In the month of March 2019, find the days on which the date is a multiple of 5. (see…
4. Form a ‘Road safety committee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2).…

Practice Set 5.2

Question 1.

For each of the following experiments write sample space ‘S’ and number of sample points n(S).

(1) One coin and one die are thrown simultaneously.

(2) Two digit numbers are formed using digits 2, 3 and 5 without repeating a digits.

Answer:

(1) Sample Space, S = {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}

 Number of events in Sample Space S, n(S) = 12

(2) Sample Space, S = {23, 25, 32, 35, 52, 53}

 Number of events in Sample Space S, n(S) = 6

Question 2.

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}

 Number of events in Sample Space S, n(S) = 6

Question 3.

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)

Question 4.

Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.

(a) Committee of 2 boys = 

(b) Committee of 2 girls = 

(c) Committee of one boy and one girl =

∴ Sample space = {..., ..., ..., ..., ..., ...}

Answer:

a) Committee of 2 boys = B1, B2

b) Committee of 2 girls= G1, G2

c) Committee of one boy and one girl=Any of the event given in sample space given below is possible

Sample Space, S={B1G1, B1G2, B2G1, B2G2}