Question

A jar contains 6 red balls and 5 blue balls. Two balls are drawn at random from the hat without replacement. What is the probability that both the balls drawn are blue?

Answer 1

Answer:

the probability may be 2/5

Answer 2

Answer:

probablity (that both the balls drawn are blue)= 0.18181...approximately

Step-by-step explanation:

number of red balls in jar=6 balls

number of blue balls in jar = 5 balls

total number of the balls in the jar = 6+5= 11 balls

using

probablity(event)= $\frac{number of outcomes}{total number of outcomes}$

if two balls are drawn randomly from the jar then

for the first draw  a "success" is a 5 balls out of the 11 balls

so the probablity ( drawing a blue ball )= 5/11

if one blue balls is drawn that leaves a total of 10 balls and only 4 blue balls left

now, the probablity(drawing second blue ball)= 4/10

now we multiply both the probablities to get the final probablity of  both being blue = $\frac{5}{11\\}$* $\frac{4}{10}$ = $\frac{2}{11}$=0.1818.. approximately