Help with this question please : ) 2. Explain what is wrong with the following s

Question

Help with this question please : )

2. Explain what is wrong with the following statements. Use complete sentences.

a. If there is a 60% chance of rain on Saturday and a 70% chance of rain on Sunday, then there is a 130% chance of rain over the weekend.

b. The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.

4. A box contains four black pieces of cloth, two striped pieces, and six dotted pieces. A piece is selected randomly and then placed back in the box. A second piece is selected randomly. What is the probability that:

a. Both pieces are dotted
b. The first piece is black and the second piece is dotted c. One piece is black and one piece is striped?

Explanation / Answer

2) A) THE PROBABILITY THAT IT WILL RAIN ON SATURDAY = 0.6

THE PROBABILITY THAT IT WILL RAIN OVER SUNDAY = 0.7

THEREFORE THE PROBABILITY THAT IT WILL RAIN OVER WEEKEND = 0.6*0.7 = 0.42

HENCE IT CANNOT BE 130% AS GIVEN

B) IN BASEBALL A SUCCESSFUL HIT MEANS THAT A RUN IS SCORED WHILE HIT FOR HOMERUN IS A SUBSET OF SUCCESSFUL HIT THEREFORE WE HAVE A PROBABILITY OF A SUBSET HIGHER THEN A SET, HENCE THE ABOVE STATEMENT IS WRONG.

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