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You pick a card at random.\newline12341234\newlineWhat is P(not even)P(\text{not even})?\newlineWrite your answer as a percentage.\newline___%\_\_\_\%

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Full solution

Q. You pick a card at random.\newline12341234\newlineWhat is P(not even)P(\text{not even})?\newlineWrite your answer as a percentage.\newline___%\_\_\_\%
  1. Identify total outcomes: Identify the total number of possible outcomes. There are 44 cards numbered from 11 to 44.
  2. Determine favorable outcomes: Determine the number of favorable outcomes for picking an even number. Even numbers in this set are 22 and 44, so there are 22 even numbers.
  3. Calculate probability of even number: Calculate the probability of picking an even number. Probability (even) = Number of even numbersTotal number of cards=24=0.5\frac{\text{Number of even numbers}}{\text{Total number of cards}} = \frac{2}{4} = 0.5.
  4. Find probability of not even: Find the probability of not picking an even number. Probability (not even) = 1−Probability(even)=1−0.5=0.51 - \text{Probability} (\text{even}) = 1 - 0.5 = 0.5.
  5. Convert probability to percentage: Convert the probability to a percentage. Probability (not even) as a percentage = 0.5×100=50%0.5 \times 100 = 50\%.

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