In: Statistics and Probability
IAQ 6 USING THE TABLE IN IAQ 5, THE NAMES OF ALL OF THESE PEOPLE ARE PLACED IN A BOX, THEY ARE THORUGHLY MIXED; THEN ONE NAME IS PULLED FROM THE BOX AT RANDOM; ; FIND THE PROBABILITY THAT THE PERSON WAS FEMALE GIVEN THAT THEY WERE IN GROUP B |
3 PLACE DECIMAL |
| Male | Female | child | TOTAL | |
| A | 4 | 3 | 9 | 16 |
| B | 3 | 541 | 2 | 546 |
| C | 5 | 1 | 541 | 547 |
| D | 9 | 6 | 4 | 19 |
| E | 7 | 9 | 10 | 26 |
| TOTAL | 28 | 560 | 566 | 1154 |
The Probability that the person was a female given that they were in group B is





*********************************************************************
ALTERNATIVE METHOD:









*****************************************************************************************
Note:
For the displayed values we did the problem as it is. If the number printed there is not correct; no issue with that numbers. Because the procedure is same whatever the numbers be.