If a certain month has 30 days, what is the probability that a randomly chosen day from that month is a weekend?
Practice Questions
1 question
Q1
If a certain month has 30 days, what is the probability that a randomly chosen day from that month is a weekend?
1/3
1/4
2/7
3/10
In a 30-day month, there are typically 8 weekend days (4 Saturdays and 4 Sundays). Probability = 8/30 = 4/15, which simplifies to approximately 1/3.
Questions & Step-by-step Solutions
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Q
Q: If a certain month has 30 days, what is the probability that a randomly chosen day from that month is a weekend?
Solution: In a 30-day month, there are typically 8 weekend days (4 Saturdays and 4 Sundays). Probability = 8/30 = 4/15, which simplifies to approximately 1/3.
Steps: 7
Step 1: Understand that a month with 30 days has a total of 30 days.
Step 2: Identify the weekend days in a week, which are Saturday and Sunday.
Step 3: Count the number of weekends in a 30-day month. Typically, there are 4 Saturdays and 4 Sundays.
Step 4: Add the number of weekend days together: 4 Saturdays + 4 Sundays = 8 weekend days.
Step 5: Calculate the probability of choosing a weekend day by dividing the number of weekend days by the total number of days in the month: 8 weekend days / 30 total days.
Step 6: Simplify the fraction 8/30 to get 4/15.
Step 7: Recognize that 4/15 is approximately equal to 1/3.
