When the percentage of left handed persons (including both men and women) in the group is 40% it means proportion of left handed persons in the group of 0.4 of the total persons. Therefor the probability of a randomly selected person from the group being left handed is 0.4. Please note that the percentage of men and and women in the group has no impact on the probability of the person being left handed.
However, if we want to calculate the probability of a randomly selected person being a left handed man, it can be done as follows.
The probability of the person selected being a male is 0.7. Further having selected a man the probability of the selected man being left handed is 0.4. Therefor probability of the selected person being left handed man
= 0.7 x 0.4 = 0.28
Similarly, probability of the selected person being left handed woman
= 0.3 x 0.4 = 0.12
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