calculate the probability of drawing an orange, followed by another orange marble. no replacement. what is…

calculate the probability of drawing an orange, followed by another orange marble. no replacement. what is the probability of drawing an orange marble?\n\\(\\frac{?}{10}\\times\\frac{2}{ }=\\frac{ }{ }=\\frac{ }{ }\\)

calculate the probability of drawing an orange, followed by another orange marble. no replacement. what is the probability of drawing an orange marble?\n\\(\\frac{?}{10}\\times\\frac{2}{ }=\\frac{ }{ }=\\frac{ }{ }\\)

Answer

Explanation:

Step1: Determine initial number of orange marbles

There are 3 orange marbles out of 10 marbles initially. So the probability of drawing an orange marble on the first - draw is $\frac{3}{10}$.

Step2: Determine number of orange marbles and total marbles after first draw

After drawing one orange marble (no replacement), there are 2 orange marbles left and 9 marbles in total. So the probability of drawing an orange marble on the second draw is $\frac{2}{9}$.

Step3: Calculate the combined probability

The probability of both events happening is the product of the probabilities of each event. So we multiply $\frac{3}{10}\times\frac{2}{9}=\frac{6}{90}=\frac{1}{15}$.

Answer:

$\frac{3}{10}\times\frac{2}{9}=\frac{6}{90}=\frac{1}{15}$