John is eating jellybeans.In his bag of jellybeans he has 2 red, 2 green and 1 black jellybean left.Find the probability that the next 2 jellybeans he eats are both red?
+26367 John is eating jellybeans.In his bag of jellybeans he has 2 red, 2 green and 1 black jellybean left.
Find the probability that the next 2 jellybeans he eats are both red?
Method 1:
probability 2 red \( = \frac{2}{5} \cdot \frac{1}{4} = \frac{2}{20} = \frac{1}{10} = 0.1\quad (10 \% )\)
Method 2:
probability 2 red
\(\begin{array}{|rcll|} \hline &= & \frac{\binom{2}{2}_{red}\binom{2}{0}_{green}\binom{1}{0}_{black}}{\binom52} \\ &=& \frac{1\cdot 1 \cdot 1 } { \frac52\cdot \frac41} \\ &=& \frac{2}{20} \\ &=& \frac{1}{10} \\ &=& 0.1\quad (10 \% ) \\ \hline \end{array}\)
