The bag contains:
- 4 red balls
- 6 black balls
- Total = 10 balls
Two balls are drawn in succession without replacement.
When the first ball is drawn, there are 10 balls total with 4 red balls.
P(First ball is Red)=104
After drawing one red ball, the bag contains:
- 3 red balls
- 6 black balls
- Total = 9 balls
P(Second ball is Black | First was Red)=96
For both events to occur:
P(Red first AND Black second)=104×96
=9024
=154
Therefore, the probability is 154.