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The probability of falling on wednesday...

The probability of falling on wednesday the 8th day of june is

A

`1//7`

B

`1//30`

C

`1//8`

D

`2//8`

Text Solution

AI Generated Solution

The correct Answer is:
To find the probability of the 8th day of June falling on a Wednesday, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Days in June**: June has a total of 30 days. 2. **Identify the Days of the Week**: The days of the week are Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday. This gives us a total of 7 days. 3. **Determine the Possible Outcomes**: Since we are looking for the probability of June 8 being a Wednesday, we need to consider that there is only 1 specific outcome (Wednesday) that we are interested in. 4. **Calculate the Total Number of Outcomes**: The total number of possible outcomes (the days of the week) is 7. 5. **Use the Probability Formula**: The probability \( P \) of an event is given by the formula: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \] In this case, the number of favorable outcomes (being a Wednesday) is 1, and the total number of possible outcomes (the days of the week) is 7. 6. **Substitute the Values into the Formula**: \[ P(\text{Wednesday on June 8}) = \frac{1}{7} \] 7. **Conclusion**: Therefore, the probability of June 8 falling on a Wednesday is \( \frac{1}{7} \). ### Final Answer: The probability of the 8th day of June being a Wednesday is \( \frac{1}{7} \). ---
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