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consider the following experiment: draw a single card from a standard d…

Question

consider the following experiment: draw a single card from a standard deck of 52 cards. what is the probability that the card drawn is the 9 of hearts? question help: video ebook

Explanation:

Step1: Define Probability Formula

Probability of an event \( E \) is \( P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).

Step2: Identify Favorable and Total Outcomes

  • Total number of cards in a standard deck: \( 52 \).
  • Number of 9 of hearts: \( 1 \) (only one 9 of hearts exists in a deck).

Step3: Calculate Probability

Substitute into the formula: \( P(\text{9 of hearts})=\frac{1}{52} \).

Answer:

\(\frac{1}{52}\)