Questions: Suppose a hat contains five blocks colored blue, green; red, orang without replacement? A 1 / 25 B 1 / 20 C 1 / 2 D 2 / 5

Suppose a hat contains five blocks colored blue, green; red, orang without replacement? A 1 / 25 B 1 / 20 C 1 / 2 D 2 / 5
Transcript text: Suppose a hat contains five blocks colored blue, green; red, orang without replacement? A $1 / 25$ B $1 / 20$ C $1 / 2$ D $2 / 5$
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Solution

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Solution Steps

Solution Approach

To solve this problem, we need to determine the probability of drawing a specific block from the hat. Since the problem does not specify which block or color we are interested in, let's assume we want to find the probability of drawing a block of a specific color. We will calculate the probability of drawing one block of a specific color from the total number of blocks. The probability is given by the ratio of the number of blocks of the desired color to the total number of blocks.

Step 1: Determine the Total Number of Blocks

The problem states that there are five blocks in total. Therefore, the total number of blocks is: \[ \text{Total blocks} = 5 \]

Step 2: Determine the Number of Blocks of a Specific Color

Assuming we are interested in the probability of drawing a blue block, and there is 1 blue block in the hat: \[ \text{Blue blocks} = 1 \]

Step 3: Calculate the Probability

The probability of drawing a blue block is the ratio of the number of blue blocks to the total number of blocks: \[ P(\text{Blue}) = \frac{\text{Blue blocks}}{\text{Total blocks}} = \frac{1}{5} \]

Final Answer

The probability of drawing a blue block is: \[ \boxed{\frac{1}{5}} \]

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