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You pick a card at random.\newline23452345\newlineWhat is P(5 or 4)P(5 \text{ or } 4)?\newlineChoices:\newline(A) 37\frac{3}{7}\newline(B) 25\frac{2}{5}\newline(C) 16\frac{1}{6}\newline(D) 12\frac{1}{2}

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Probability of mutually exclusive events and overlapping eventsright chevron icon

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Q. You pick a card at random.\newline23452345\newlineWhat is P(5 or 4)P(5 \text{ or } 4)?\newlineChoices:\newline(A) 37\frac{3}{7}\newline(B) 25\frac{2}{5}\newline(C) 16\frac{1}{6}\newline(D) 12\frac{1}{2}
  1. Identify Digits: Identify the total number of digits in the number 23452345.\newlineDigits in 23452345: 22, 33, 44, 55. Total digits = 44.
  2. Count 55 or 44: Count how many of these digits are either a 55 or a 44.\newlineDigits that are 55 or 44: 4,54, 5. Total = 22.
  3. Calculate Probability: Calculate the probability of picking a 55 or a 44.Probability(P)=Number of favorable outcomesTotal number of outcomes=24=12\text{Probability} (P) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{4} = \frac{1}{2}.

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