<u>Explanation</u><u>:</u><u>-</u>
Total number of families are surveyed = 1500
Total number of possible outcomes = 1500
Number of part time maids = 860
Number of favourable outcomes to part time maids = 860
Number of only full time maids = 370
Number of favourable outcomes to only full time maids = 370
Number of both type of maids = 250
Number of favourable outcomes to both type of maids = 250
From all families selecting a family randomly is an event then
We know that
Probability of an event =
Number of favourable outcomes/Total number of possible outcomes
1⟩ Probability of getting both type of maids
⇛250/1500
⇛25/150
⇛1/6
Probability of a family has both type of maids= 1/6.
2⟩ Probability of getting Part time maids
= 860/1500
⇛86/150
⇛43/125
Probability of getting Part time maids = 43/125.
3⟩. Number of part time maids =n(P only )=860
Number of only full time maids =n(F only) = 370
Number of both type of maids = n(PnF)= 250
Total number of families are surveyed= n(PUF)
= 1500
number of no maids =
n(PUF)= n(only P)+n(only F)+n(PnF)
= 1500-(860+370+250)
⇛1500-(1480)
⇛20
Number of no maids = 20
Probability of getting no maid = 20/1500
⇛2/150
⇛1/125
Probability of getting no maid = 1/125.
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