When 50% of a number is added to the number, the result is 135

Let's call the unknown number x.

The problem tells us that when we add 50% of x to x itself, the result is 150. So the math looks like this:

x + (50% of x) = 150

      x + (0.5x) = 150

               1.5x = 150

                    x = 150/1.5

                    x = 100

We can check the math by taking 50% of 100 (which is 50) and adding it to 100. We get 150, so we know the math worked out!

Remember that percentages are just a different way of expressing fractions of 100. So "25%" = 25/100 = 0.25, and "50%" = 50/100 = 0.5, and so on.

Given:

Probability that the Yankees wins a game is

P(A) = 0.46

Probability that the Yankees loses a game is

P(A') = 1 - P(A') = 1 - 0.46 = 0.54

Probability that the Yankees scores 5 or more runs in a game is

P(B) = 0.59

Probability that the Yankees scores fewer than 5 runs in a game is

P(B') = 1 - P(B) = 1 - 0.59 = 0.41

Probability that the Yankees wins and scores 5 or more runs is

P(A⋂B) = 0.39

Applying the De Morgan's law, the probability that the Yankees scores fewer than 5 runs and they loses the game would satisfy:

1 - P(A'⋂B') = P(A) ⋃ P(B) = P(A) + P(B) - P(A⋂B)

or

1 - P(A'⋂B') = 0.46 + 0.59 - 0.39

or

1 - P(A'⋂B') = 0.66

=> P(A'⋂B') = 1 - 0.66 = 0.34

Applying the Bayes theorem, the probability that the Yankees would score fewer than 5 runs, given they lose the game:

P(B'|A')  = P(A'⋂B')/P(A')

or

P(B'|A') = 0.34/0.54 = 0.630

Hope this helps!

:)