Total of 50 students 20 girls play lacrosse 20 boys play either soccer or lacrosse 20 students play soccer what is the probability that a student plays soccer or is a girl?

The probability that a student plays soccer or is a girl = 0.8

Step-by-step explanation:

Total number students playing soccer or lacrosse = 50 ......(1)

Number of boys playing soccer or lacrosse = 20 ........(2)

Number of students playing soccer = 20  .....(3)

Number of girls who play lacrosse = 20 .....(4)

Number of students who play lacrosse = 50 - 20 = 30 ( From (1) and (3))

So, Number of boys playing lacrosse = 30 - 20 = 10  ( From (2))

Number of boys playing soccer = 20 - 10 = 10 (From (2))

So, Number of girls playing soccer = 20 - 10 = 10 (From (3))

So, Total number of girls playing either soccer or lacrosse = 50 - 20 = 30

Now, we need to calculate P(A or B)

So, P(A or B) = P(A) + P(B) - P(A and B)

Hence, The probability that a student plays soccer or is a girl = 0.8

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step-by-step explanation:

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