Question
If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you
select is a 6 .
a) Write your answer as a reduced fraction.
b) Write your answer as a decimal, rounded to the nearest thousandth.
c) Write your answer as a percent. Round to the nearest tenth of a percent as needed.
Check Answer
select is a 6 .
a) Write your answer as a reduced fraction.
b) Write your answer as a decimal, rounded to the nearest thousandth.
c) Write your answer as a percent. Round to the nearest tenth of a percent as needed.
Check Answer
Ask by Higgins Macdonald. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of selecting a 6 is
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Mind Expander
To determine the probability of randomly selecting a 6 from a standard deck of 52 cards, first note that there are four 6s in the deck (6 of hearts, 6 of diamonds, 6 of clubs, and 6 of spades).
a) The probability is calculated as the number of favorable outcomes divided by the total number of outcomes:
Probability = Number of 6s / Total number of cards = 4/52 = 1/13 (after reducing the fraction).
Probability = Number of 6s / Total number of cards = 4/52 = 1/13 (after reducing the fraction).
b) To express this as a decimal, divide 1 by 13. This gives approximately 0.0769. When rounded to the nearest thousandth, the answer is 0.077.
c) To convert this to a percent, multiply the decimal result by 100. So, 0.077 x 100 = 7.7%. Thus, the probability of drawing a 6 is 7.7%.
