Question #19d49

2 Answers
Apr 10, 2017

The probability of drawing two marbles is the product of drawing the each of the blue marbles.

The product of drawing the first marble is 4/16 or 1/4

The product of drawing the second marble is 3/15 = 1/5

The overall probability is

1/4 xx 1/5 = 1/20 14×15=120

Apr 10, 2017

Probability of drawing two blue marbles =1/20=120

Explanation:

Red Marbles =7=7
Blue Marbles =4=4
Green Marbles =5=5

Total Marbles =7+4+5=16=7+4+5=16

The probability value to be calculated as follows:

Probability of drawing two blue marbles = Number of ways two blue marbles can be taken from 4 blue marbles [number of favourable events] / Number of ways two marbles can be taken from the 16 marbles [Total Number of events]

Number of ways two blue marbles can be taken from 4 blue marbles [number of favourable events] =nCr = 4C2 = 6=nCr=4C2=6

Number of ways two marbles can be taken from the 16 marbles [Total Number of events] =nCr= 16C2=120#

Probability of drawing two blue marbles =6/120=1/20=6120=120