Pregunta
Question 28
In a drawer, there are 13 pairs of socks, 6 of which are white, and 8 t-shirts, 4 of which are
white. If you randomly select one pair of socks and one t-shirt, what is the probability that
both are white? Express your answer as a reduced fraction.
In a drawer, there are 13 pairs of socks, 6 of which are white, and 8 t-shirts, 4 of which are
white. If you randomly select one pair of socks and one t-shirt, what is the probability that
both are white? Express your answer as a reduced fraction.
Ask by Collins Smith. in the United States
Dec 08,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The probability that both the selected pair of socks and the selected t-shirt are white is
.
Solución

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Como
Beyond the Answer
To find the probability that both the selected pair of socks and the t-shirt are white, we can approach this problem step by step.
First, let’s determine the probability of selecting a white pair of socks. There are 13 pairs of socks in total, and 6 of those are white. Therefore, the probability of picking a white pair of socks is:
Next, we look at the probability of selecting a white t-shirt. There are 8 t-shirts in total, and 4 of those are white. So, the probability of picking a white t-shirt is:
To find the probability that both events occur (selecting a white pair of socks and a white t-shirt), we multiply the individual probabilities together:
Thus, the probability that both the selected pair of socks and t-shirt are white is
.

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