Question

section 5.1 homework
score: 0/10 answered: 0/10
question 2
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 diamond.
a. write your answer as a simplified 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 and dont forget to include a percent sign, %, in your answer.

question help: video written example message instructor post to forum

Explanation:

Step1: Calculate the number of diamond cards

A standard deck has 52 cards. There are 13 diamond cards.

Step2: Calculate the probability as a fraction

Probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{13}{52}\). Simplify \(\frac{13\div13}{52\div13}=\frac{1}{4}\).

Step3: Convert the fraction to a decimal

\(\frac{1}{4}=1\div4 = 0.25\).

Step4: Convert the decimal to a percentage

\(0.25\times100\% = 25.0\%\).

Answer:

A. \(\frac{1}{4}\)
B. \(0.250\)
C. \(25.0\%\)