Question

Question #19d49

Answer 1

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`

Answer 2

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

Explanation:

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

Total Marbles `=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`

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`