Respuesta :
Answer:
The probability of picking two cards with the girls name with out replacement
[tex]P(E) = \frac{42}{156} = 0.2692[/tex]
Step-by-step explanation:
Explanation:-
The number of cases that two cards can be drawn from '6' boys and '7' girls one after another with out replacement.
That is [tex]13C_{1}X12C_{1} = 156ways[/tex]
Let 'E' be the event of the pick another one of two cards from girls name with out replacement .
That is total number of girls =7
The number of ways cases that the two cards can be drawn one after another one without replacement = [tex]7C_{1}X6C_{1}[/tex] = 42
Required probability P(E) = [tex]\frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{42}{156} = 0.2692[/tex]
Conclusion:-
The probability of picking two cards with the girls name with out replacement
[tex]P(E) = \frac{42}{156} = 0.2692[/tex]
