San Pablo City is famous for its Seven Lakes namely: Sampaloc, Bunot, Yambo, Pandin.
Mohicap, Calibato, and Palakpakin. Your friend from Manila will come to your house
to have a one-week vacation. You suggested that you will accompany him to visit one
of the Seven Lakes. To determine the lakes that you will be visiting, you decided to
draw lots. So, you wrote each lake name on a piece of paper and put them in a bowl.
If you will pick one paper from the bowl, what is the probability that you will pick:
a. Sampaloc or a lake that starts with "S"?
b. a lake that starts with "P" or starts with "S"?
C. Bunot or Yambo?
d. Mohicap or a lake that starts with "B"?
e. a lake that starts with "M" or starts with "Y"?​


Sagot :

DETERMINE THE LAKES THAT YOU WILL ACCOMPANY TO VISIT ONE OF THE SEVEN LAKES.

ANSWER:

a. The probability that the Sampaloc or a lake that starts with "S" will pick is 1/7.

Explanation:

  • The probability that this Sampaloc lake will be picked is 1/7 because there's only one lake named Sampaloc in San Pablo City.
  • The probability that the lake that starts with letter "s" is 1/7 because out of seven lakes, there is only one lake which name starts with "s" and that is Sampaloc.
  • Sampaloc and the lake the start with "s" is the same so we need to substract  probability 1/7.

  By adding the probability that Sampaloc or a lake that start with "S" will be picked is;

               [tex]\frac{1}{7}+\frac{1}{7}=\frac{2}{7}-\frac{1}{7} =\frac{1}{7}[/tex]

b. The probability that the lake that starts with "P" or a lake tarts with "S" will pick is 3/7.

Explanation:

  • The probability that a lake that starts with "P" will be picked is 2/7. Because there are 2 out of seven lake that name start with letter "P" and that is Pandin and Palakpakin.
  • The probability that the lake that starts with letter "s" is 1/7 because out of seven lakes, there is only one lake which name starts with "s" and that is Sampaloc.

    By adding the probability of the lake that starts with "P" and the lake that starts with "S" will be pick is:

               [tex]\frac{2}{7}+\frac{1}{7}=\frac{3}{7}[/tex]

     

c. The probability that the Bunot or Yambo will be picked is 2/7

Explanation:

  • The probability that the Bunot lake will be picked is 1/7. Because there is only one lake that name is Bunot in San Pablo City.
  • The probability that the Yambo lake will be picked is 1/7. Because there is only one lake that name is Yambo in San Pablo City

   By adding the probability that Bunot or Yambo will be picked is;

                                   [tex]\frac{1}{7}+\frac{1}{7}=\frac{2}{7}[/tex]

d. The probability that the Mohicap or a lake that start with "B" will be pick is 2/7.

Explanation:

  • The probability that the Mohicap lake will be picked is 1/7. Because there is only one lake that name Mohicap is in San Pablo City.
  • The probability that the lake that starts with letter "B" is 1/7 because out of seven lakes, there is only one lake which name starts with "B" and that is Bunot.

     By adding the probability that Mohicap or a lake that start with "B" will be picked is;

                 [tex]\frac{1}{7}+\frac{1}{7}=\frac{2}{7}[/tex]

E. The probability that the lake that starts with "M" or tarts with "Y" will be pick is 2/7.

Explanation:

  • The probability that the lake that starts with letter "M" is 1/7 because out of seven lakes, there is only one lake which name starts with "M" and that is Mohicap.
  • The probability that the lake that starts with letter "Y" is 1/7 because out of seven lakes, there is only one lake which name starts with "Y" and that is Yambo.

By adding the probability that that the lake that starts with "M"  or a lake that start with "Y" will be picked is;

                 [tex]\frac{1}{7}+\frac{1}{7}=\frac{2}{7}[/tex]

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