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 even number and then picking an even number?
Write your answer as a fraction or whole number.
Submit
random.
4)) What is the probability of picking an even number and then picking an even number?
Write your answer as a fraction or whole number.
Submit
Ask by Rogers Graham. in the United States
Mar 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The probability of picking an even number twice in a row is
Solución
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Como
Mind Expander
To determine the probability of picking an even number and then another even number from a standard deck of cards, we first note that there are 52 cards total. In a standard deck, there are 20 even-numbered cards (2, 4, 6, 8, 10 in each suit).
When you pick the first even card, the probability is 20/52. After picking the first card, there are now 51 cards remaining, and if you picked an even card, there are 19 even cards left. The probability of picking a second even card is 19/51.
So, the combined probability of both events happening is:
(20/52) * (19/51) = 380/2652, which simplifies to 5/34.
(20/52) * (19/51) = 380/2652, which simplifies to 5/34.
Therefore, the final probability is 5/34.
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