SOLUTION: The probability that a football player weighs more than 230 pounds is .69, that he is at least 75 inches tall is .55, and that he weights more than 230 pounds and is at least 75 i

Algebra.Com
Question 1152079: The probability that a football player weighs more than 230 pounds is .69, that he is at
least 75 inches tall is .55, and that he weights more than 230 pounds and is at least 75 inches tall is .43. Find the probability that a randomly selected football player weighs more than 230 pounds or is at least 75 inches tall.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
p(>230)=0.69
P(>=75)=0.43
P(BOTH)=0.69*0.43 if independent
P(OR) is P(A)+p(B)-2P(both A and B), the last term because of double counting
=0.69+0.43-0.2967, and round to .30
=1.12-0.30=0.82
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

            The correct solution is as follows. 


Use the general formula  of the Probability theory


          P(A U B) = P(A) + P(B) - P(A ∩ B).


In your case P(A) = 0.69  (weighs more than 230 pounds);

             P(B) = 0.55  (is at least 75 inches tall),

             P(A ∩ B) = 0.43  (weights more than 230 pounds and is at least 75 inches tall).



Substitute the given data into the formula and calculate


         P(A U B) = 0.69 + 0.55 - 0.43 = 0.81.      ANSWER

Solved (correctly).

--------------

The solution by @Boreal is INCORRECT.



RELATED QUESTIONS

65% of men consider themselves football fans,you randomly select 8 men and ask each if he (answered by jim_thompson5910)
In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​... (answered by Boreal)
Can anyone help me with the below word problem. Is it standard deviation? The weights (answered by stanbon)
A survey of athletes at a high school is conducted, and the following facts are... (answered by ikleyn)
A survey of athletes at a high school is conducted, and the following facts are... (answered by ikleyn)
A survey of athletes at a high school is conducted, and the following facts are... (answered by greenestamps)
A survey of athletes at a high school is conducted, and the following facts are... (answered by richwmiller)
A survey of athletes at a high school is conducted, and the following facts are... (answered by Edwin McCravy)
Linear Interpolation and Animation At the present time, a football player weighs 315... (answered by Boreal,josgarithmetic)