Question

A jar of gumballs contains 4 reds, 2 greens, and 6 blues. What is the probability of getting two blues in a row without replacement?

Answer 1

Answer:   $\bold{\dfrac{5}{22}}$

Step-by-step explanation:

Red = 4, Green = 2, Blue = 6   ⇒    Total = 12

$\text{Probability =}\dfrac{\#\ of\ blues}{total}\times\dfrac{\# \ of\ blues\ remaining}{total\ remaining}\\\\.\qquad \qquad \quad =\dfrac{6}{12}\times \dfrac{5}{11}\\\\.\qquad \qquad \quad =\dfrac{1}{2}\times \dfrac{5}{11}\\\\.\qquad \qquad \quad =\dfrac{5}{22}$