a bag contain 5 black balls and 7 green balls . 2 balls are drawn simultaneously what is the probability of getting 2 different colour of the balls
Answers
Answer:
StepFirst ball:
Probability of drawing a white ball is 5/8
Probability of drawing a black ball is 3/8
Second ball:
This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.
Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).
If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.
The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)-by-step explanation:
Black balls = 5
green balls= 7
other ball=2
total balls= 14
probability of black balls=5/14
probability of green balls=7/14=1/2
probability of other balls =2/14=1/7