Question 23

A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?

Solution

We are given 4 blue balls 5 white balls and 6 green balls

Total balls = 4 + 5 + 6 = 15 balls

We are drawing 2 balls at random, and we need to find the probability that exactly one of them is white.

So, total ways $$ = \binom{15}{2} = \frac{15 \times 14}{2} = 105 $$

We want one white ball and one non-white ball (i.e., either blue or green).

Number of ways to choose 1 white ball = $$ \binom{5}{1} = 5$$

Number of ways to choose 1 non-white ball = $$ \binom{10}{1} = 10 $$ (since 4 blue + 6 green = 10)

Favorable outcomes= $$ 5 \times 10 = 50 $$

So, Probability $$= \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{50}{105} = \frac{10}{21} $$

View More Questions From Temporary

Create a FREE account and get:

Download Maths Shortcuts PDF
Get 300+ previous papers with solutions PDF
500+ Online Tests for Free

maruti sir image

MAT Quant Questions | MAT Quantitative Ability

MAT Averages Questions MAT Data Sufficiency Questions MAT Venn Diagrams Questions MAT Averages Mixtures Alligations Questions MAT Progressions and Series Questions MAT Time And Work Questions MAT Simple Interest Compound Interest Questions MAT Logarithms, Surds and Indices Questions MAT Mensuration Questions MAT Percentages Questions MAT Time Speed Distance Questions MAT Arithmetic Questions MAT Coordinate Geometry Questions MAT Quadratic Equations Questions MAT Logarithms Questions MAT Inequalities Questions MAT Profit And Loss Questions MAT Profit and Loss Questions MAT Time, Speed and Distance Questions MAT Geometry Questions MAT Averages, Ratio and Proportion Questions MAT Algebra Questions MAT Remainders Questions MAT Probability, Combinatorics Questions MAT Number Series Questions MAT Number Systems Questions MAT Linear Equations Questions MAT Functions, Graphs and Statistics Questions

MAT DILR Questions | LRDI Questions For MAT

MAT DI Miscellaneous Questions MAT Special Charts Questions MAT Coins and Weights Questions MAT Data Interpretation Questions MAT Charts Questions MAT Quant Based LR Questions MAT Puzzles Questions MAT Venn Diagrams Questions MAT Arrangement Questions MAT Routes And Networks Questions MAT 2D & 3D LR Questions MAT Data Interpretation Basics Questions MAT Games and Tournamnents Questions MAT Quant Based DI Questions MAT Table based DI Sets Questions MAT DI with connected data sets Questions MAT Selection With Condition Questions MAT Data change over a period Questions MAT Truth Lie Concept Questions MAT Miscellaneous LR Questions MAT Scheduling Questions MAT Maxima-Minima Questions

MAT Verbal Ability Questions | VARC Questions For MAT

MAT Odd One Out Questions MAT Critical Reasoning Questions MAT Reading Comprehension Questions MAT Para Jumbles Questions MAT Grammar and Sentence Correction Questions MAT Vocabulary Questions MAT Miscellaneous Questions MAT Verbal Ability Questions MAT Para Summary Questions