Question #23955

In one city, 51.5% of adults are female, 8.2% of adults are left-handed, and 5.2% are left-handed females. For an adult selected at random from the let

F = event that person is female

L = event person is left handed.

Find P (F or L) Round approximations the three decimal places.

F = event that person is female

L = event person is left handed.

Find P (F or L) Round approximations the three decimal places.

Expert's answer

The probability of at least one of the two joint events is the sum of the probabilities of these events without probability of their co-occurrence

P( F or L) = P(F) + P(L) - P (FL)

P(F) - probability of the event F

P(L) - probability of the event P

P(FL) - probability of event (P&F)

In our case

P(F) = 0.515 - probability what adult is female

P(L) = 0.082 - probability what adult is left-handed

P(FL) = 0.052 - probability what adult is& left-handed female

P (F or L) = 0.515+0.082-0.052=0.545=54.5%

Answer:& P (F or L) =& 54.5%

P( F or L) = P(F) + P(L) - P (FL)

P(F) - probability of the event F

P(L) - probability of the event P

P(FL) - probability of event (P&F)

In our case

P(F) = 0.515 - probability what adult is female

P(L) = 0.082 - probability what adult is left-handed

P(FL) = 0.052 - probability what adult is& left-handed female

P (F or L) = 0.515+0.082-0.052=0.545=54.5%

Answer:& P (F or L) =& 54.5%

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