323,371 views
11 votes
11 votes
13 of the group visited the eiffel tower 16 of the group visited the notra-dame cathederal 7 of the group did not visit any of these places. a person is chosen at random from the group what is the probibility that this person only visited 1 of the 2 placesThere are 30 people in total

User Silviot
by
2.3k points

1 Answer

14 votes
14 votes

Answer:

0.5667

Step-by-step explanation:

If there are 30 people in total and 7 of them didn't visit any of the places, we have 23 people that visit the Eiffel tower or the Notre-dame cathedral because

30 - 7 = 23

Now, we know that 13 people visited the Eiffel tower and 16 people visited the Notre-dame cathedral. If we add these numbers, we get

13 + 16 = 29

Since 29 is greater than 23 and 29 - 23 = 6, we get that 6 people visited the Eiffel tower and the Notre-dame cathedral.

Then,

13 - 6 = 7

16 - 6 = 10

So, 7 people only visited the Eiffle tower and 10 people only visited the Notre-dame cathedral. It means that 17 people (10 + 7 = 17) from the 30 visited only 1 of the 2 places.

Then, the probability is calculated as


P=(17)/(30)=0.5667

Therefore, the answer is 0.5667

User Bob Sammers
by
3.5k points