in a closed bag there are three red toys,four green toys,five blue toys,and two white toys .if four toys are drawn at random from the bag ,then what is the probability that equal number of toys of two different colours are selected
Answers
Given : in a closed bag there are three red toys,four green toys,five blue toys,and two white toys . four toys are drawn at random from the bag
To find : what is the probability that equal number of toys of two different colours are selected
Solution:
Red Toys = 3
Green Toys = 4
Blue toys = 5
White toys = 2
Total Toys = 14
4 toys are drawn
number of ways of drawing 4 Toys = ¹⁴C₄ = 1001
Equal no. of toys of two different colours are selected.
Hence two toys each of two colors
two colors out of 4 colors can be selected in ⁴C₂ = 6 Ways
RG RB , RW , GB , GW , BW
³C₂*⁴C₂ + ³C₂*⁵C₂ + ³C₂*²C₂+ ⁴C₂*⁵C₂+ ⁴C₂*²C₂ + ⁵C₂*²C₂
= 3 * 6 + 3 * 10 + 3 * 1 + 6*10 + 6*1 + 10*1
= 18 + 30 + 3 + 60 + 6 + 10
= 127
Probability that equal number of toys of two different colours are selected
= 127/1001
Learn more:
In a Family of 3 children find probability of having at least one boy ...
https://brainly.in/question/7700718
Can probability of an event is 7/4 ? Give reasons - Brainly.in
https://brainly.in/question/15057924