If a certain month has 30 days, what is the probability that a randomly chosen d

Practice Questions

Q1
If a certain month has 30 days, what is the probability that a randomly chosen day from that month is a weekend?
  1. 1/3
  2. 1/4
  3. 2/7
  4. 3/10

Questions & Step-by-Step Solutions

If a certain month has 30 days, what is the probability that a randomly chosen day from that month is a weekend?
Correct Answer: 4/15
  • 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.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Days in a Month – Understanding the distribution of days in a month, specifically how many are weekends.
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