Question

Two classmates, Aisha and Brandon, want to attend two school activities
over the coming weekend. They have one parking pass between them. The
probabilities that the classmates will attend each event are shown in the
table.

Answer 1

Answer:

A. Aisha. She has a 0.54 probability of attending both activities.

Step-by-step explanation:

Answer 2

Using probability, Aisha has 0.54 more likely to the attending both activities.

What is probability?

Probability is "possibility that deals with the occurrence of the event"

According to the question,

Probability that the Aisha has attending the Saturday activity P(SAA) = 0.67  

Probability that the Aisha has attending the Sunday activity P(SA) = 0.81

Probability that the Brandon has attending the Saturday activity

P(SAB) = 0.86

Probability that the Brandon has attending the Sunday activity P(SB) = 0.62

In order to find the who is more likely to attend both activities only using multiplication theorem of probability

P(A ∩ B) = P(A).P(A/B)

Applying multiplication theorem in above data, we have

P(SAA ∩ SA) = P(SAA). P(SAA/SA)

                     = (0.67) . (0.81)

                     = 0.5427 ≈ 0.54

Probability that the Aisha has attending the both the meeting is 0.54.

P(SAB ∩ SB) = P(SAB). P(SAB/SB)

                     =  (0.86) . (0.62)

                     =  0.5332 ≈ 0.53

Probability that the Brandon has attending the both the meeting is 0.54.

Hence, using probability Aisha has 0.54 more likely to the attending both activities.

Learn more about probability here

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