Question

The tree diagram shows all the possible choices for the soccer team uniform. If the players
choose a uniform at random, what is the probability that the shorts and shirt will be the
same color?
Shorts
Shirt
Outcome
White, Striped
White, White
White, Blue
Striped
White
Blue
White
Stripod
White
Blue
Bluo, Striped
Blue, White
Blue, Blue
Blue
2

Answer 1

Answer:

Correct option: Fourth one -> 1/3

Step-by-step explanation:

As we can see from the tree diagram, there are two options of shorts and three options of shirts, in a total of 6 possible outcomes.

From these 6 outcomes, we have 2 where the short and shirt have the same color (white and white or blue and blue).

As we want 2 outcomes from the total of 6, the probability will be:

P = 2/6 = 1/3

Correct option: Fourth one.

Answer 2

There is a 33.33% probability that the shorts and shirt will be the same color.

Since the tree diagram shows all the 6 possible choices for the soccer team uniform, to determine, if the players choose a uniform at random, what is the probability that the shorts and shirt will be the same color, since there are only 2 of those 6 possibilities of the same color, the following calculation should be performed:

• 6 = 100
• 2 = X
• 2 x 100/6 = X
• 200/6 = X
• 33.33 = X

Therefore, there is a 33.33% probability that the shorts and shirt will be the same color.

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