Pregunta
4)) You pick a card at random. Without putting the first card back, you pick a second card at
random.
4) What is the probability of picking an odd number and then picking an odd number?
4) Write your answer as a fraction or whole number.
(1)
random.
4) What is the probability of picking an odd number and then picking an odd number?
4) Write your answer as a fraction or whole number.
(1)
Ask by Reid Lindsey. in the United States
Mar 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The probability of picking an odd number twice in a row is
Solución
Let the deck have cards with numbers. Assume there are
When picking one card at random, the probability of choosing an odd card is
Since the card is not replaced, there are now
The probability of drawing an odd card on the second pick is
Therefore, the probability of picking an odd card then another odd card is given by the product of the two probabilities:
Thus, the answer is
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Simplifique esta solución Beyond the Answer
To solve this probability problem, we first consider a standard deck of cards which has 52 cards total: 26 red and 26 black, equally divided into numbered cards and face cards. If we focus on the numbered cards, the odd numbers are 1 (Ace), 3, 5, 7, 9 – a total of 20 odd cards. Therefore, the probability of picking an odd card first is 20/52. Once you pick an odd card and do not replace it, there are now 19 odd cards left out of 51 total cards. So, the probability of picking an odd card the second time is 19/51. The combined probability is (20/52) × (19/51) = 380/2652. Simplifying that fraction gives us 5/34.
So, the probability of picking an odd number and then another odd number is 5/34!
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