The table shows the distribution of male
students and left- and right-handed students in the math
club. Find the probability that a student selected at
random is left-handed, given that the student is female.
Express your answer as a fraction in simplest form.
Left-handed Right-handed
Male
2
44
Female
5
30

The table shows the distribution of male students and left and righthanded students in the math club Find the probability that a student selected at random is l class=

Respuesta :

Answer:

1/6

Step-by-step explanation:

The probability that a student selected at random is left-handed, given that the student is female is [tex]1\div 7[/tex]

Calculation of the probability:

Here the probability be like

[tex]= Number\ of \ lefthanded \ females/Number\ of\ females[/tex]

Here, Number of lefthanded females = 5

And,

Number of females should be = 30 + 5 = 35

So, the probability be

[tex]= 5 \div 35\\\\= 1\div 7[/tex]

hence, The probability that a student selected at random is left-handed, given that the student is female is [tex]1\div 7[/tex]

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