Answer:
1/8 or 0.125
Step-by-step explanation:
16 students and we look at the potential outcomes
boy chosen 6/16 girl chosen 10/15
girl chosen 10/16 boy chosen 6/15
boy chosen 6/16 boy chosen 5/15
girl chosen 10/16 girl chosen 9/15
We multiply the one in bold 6/16 x 5/15 = 1/8
The outcome among the students of a boy being chosen has affected the outcome of boy being chosen again the second selection, making these events dependent.
Definition: Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.
Now that we have accounted for the fact that there is no replacement, we can find the probability of the dependent events in Experiment 1 by multiplying the probabilities of each event.
