A bag contains 3 white, 3 black and 2 red balls. One by one, three balls a

Sail E0 Webinar

Question

A bag contains 3 white, 3 black and 2 red balls. One by one, three balls are drawn without replacing them. Then the probability that the third ball is red , is given by

Options:

A . 524

B . 112

C . 14

D . 12

Answer: Option C
:
C
Number of white balls = 3, black balls = 3 red balls = 2
Since drawn balls are not replaced, for third ball to red, we have following patterns:

E_{1} = W W R, B B R, E_{2} = B W R, W B R; a n d E_{3} = R B R, R W R, B R R, W R R

P (E_{1}) = 2 \times \frac{3}{8} \times \frac{2}{7} \times \frac{2}{6}, P (E_{2}) = 2 \times \frac{3}{8} \times \frac{3}{7} \times \frac{2}{6}, P (E_{3}) = \frac{4 \times 2 \times 3 \times 1}{8.7.6}

Required probability

= P (E_{1}) + P (E_{2}) + P (E_{3}) = \frac{1}{4}

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. A natural number is chosen at random from the first 100 natural numbers. Then the probability, for the in-equatio....numbers. Then the probability, for the in-equation x+100x>50 satisfied, is

Question 2. In a multiple choice question there are four alternative answers of which one or more than one is or are correct.&....that he will get marks on it is given by

Question 3. The odds in favour of A solving a problem are 3 to 4 and the odds against B solving the same problem are 5 to 7.&#....the problem, the probability that the problem is solved is:

Question 4. Urn A contains 6 red , 4 white balls and urn B contains 4 red and 6 white balls. One ball is drawn from the urn A ....the probability that it is found to be red is

Question 5. Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly o....group of children have no blood relations, is equal to

Question 6. Two players A and B throw a die alternately for a prize of Rs 11, which is to be won by a player who first throws a six.....six. If A starts the game, their respective expectations are

Question 7. Let A, B , and C be three independent events with P(A)=13,P(B)=12, and P(C)=14. . The probability of exactly 2....of exactly 2 of these events occurring, is equal to

Question 8. A box contains 24 identical balls of which 12 are white and 12 black. The balls are drawn at random from the box one at ....ball is drawn for the 4th time on the 7th draw is

Question 9. Sixteen players P1.P2.………P16 play in a tournament. They are divided into eight pairs at ....two players P1 and P2 is among the eight winners is

Question 10. In four schools B1,B2,B3,B4 the percentage of girls students is 12, 20, 13, 17 respectively. From a school sel....a girl. The probability that the school selected is B2, is

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0