Respuesta :
The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15.
How to solve conditional probability?
- The probability of one event is affected or depends on the probability of another event in contingent probability.
Now, the total balls in the bag are:
- Total balls = 5 + 3 + 2
- Total balls = 10 balls
The probability of first picking a black ball is:
- P(black ball first) = 3/10
Now, when a black ball is picked, there will be 9 balls left in the bag of which only 2 are black.
Thus, the probability of picking another black ball is:
- P(black ball second) = 2/9
Thus; the probability of picking a black ball and then another black ball is;
- P(black ball | black ball) = 3/10 × 2/9
- P(black ball | black ball) = 1/15
Therefore, the probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15.
Know more about probability here:
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