contestada

1) A bag contains 10 beads - 2 black, 3 white, and 5 red. A bead is selected at random. Select a white bead, not replace it, and then select a red bead. what are the probabilities

Respuesta :

The problem has to events, selecting a white bead, and selecting a red bead, without replacement, which means the total number of outcomes changes by one.

[tex]P=\frac{3}{10}\times\frac{5}{9}[/tex]

Observe how the number of beads changes to 9 because the first selected is not being replaced.

[tex]P=\frac{3\times5}{10\times9}=\frac{15}{90}=\frac{1}{6}[/tex]

Hence, the probability is 1/6.