Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve R.D.Sharma class 12 Chapter 30 Probaility Exercise 30.4 Question 3 Sub Question 2 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 30 Probaility  Exercise 30.4 Question 3 Sub Question 2 Maths Textbook Solution.

Answers (1)

Answer: A and B are independent events

Given: A card is drawn from a pack of 52 cards so that each card is equally likely to be selected.

            A= the card is black, B= the card drawn is a king

Hint: To find events are independent P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

Solution: As we know, Two events are said to be independent if the product of the events are equal to their intersection. i.e. P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

Let, A =Event of getting a black card

            P\left ( A \right )=\frac{Number\: of\: Black\: Cards}{Total\: Number\: of\: Cards}

                          =\frac{26}{52}.....(Total \: Number\: of\: black\: cards=26)

                            =\frac{1}{2}

        B = Event of getting an king

        P\left ( B \right )=\frac{Number\: of\: Black\: Cards}{Total\: Number\: of\: Cards}

                      =\frac{4}{52}

                       =\frac{1}{13}

          P\left ( A\cap B \right )=\frac{2}{52}.....\left \{ N.\: of\: black\: kings=2 \right \}

            P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

Thus, A and B are independent events.

Posted by

infoexpert21

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Board exams twice a year from 2025, no plan for semesters: MoE
anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question