MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Experiment and Outcomes

From a group ...

Question

From a group of $2$ men and $3$ women, two persons are selected. Describe the sample space of the experiment. If $E$ is the event in which one man and one woman are selected, then which are the cases favourable to $E$ ?

Open in App

Solution

Let 2 men be $M_{1}, M_{2}$ & 3 women be $W_{1}, W_{2}, W_{3} .$ Let s be sample
space for selecting 2 persons
$S = {(M_{1}, M_{2}), (M_{1}, W_{1}) (M_{1}, W_{2}) (M_{1}, W_{3}), (M_{2}, W_{1}) (M_{2}, W_{2}) (M_{2}, W_{3}), (W_{1}, W_{2}) (W_{1}, W_{3}), (W_{2}, W_{3})}$
cases favourable to event in which 1 man & 1 woman are selected
$= (M_{1}, W_{1}), (M_{1}, W_{2}), (M_{1}, W_{3}), (M_{2}, W_{1}), (M_{2}, W_{2}), (M_{3}, W_{3})$

Suggest Corrections

thumbs-up

0

Similar questions

Q. From a group of 3 men and 2 women, two persons are selected at random. Find the probability that atleast one woman is selected.

2

3

women a team of two persons is to be formed such that there is exactly one man and one woman. Write the sample space of this experiment, then the total no. of combinations of team possible are

Q. From a group of 4 men and 3 women, 2 persons are selected at random, Find the probability at least one man is selected.

Q. Describe the sample space for the indicated experiment :

2

2

girls are in Room

X

1

3

Y

.
Specify the sample space for the experiment in which a room is selected and then a person.

Q. A committee of three persons is to be randomly selected from a group of three men and two women and the chair person will be randomly selected from the committee.The probability that the committee will have exactly two women and one man, and that the chair person will be a women, is / are

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Experiment and Outcomes

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon