Question

1) both balloons are red2)neither of the balloons are large

Answer 1

It is given that there are ballons of different colors in the party pack given by the table.

The total number of red, yellow and blue baloons can be found by adding the respective columns.

The total number of baloons is the sum of all cells combined.

Hence find the total number of red, yellow and blue baloons as follows:

$\begin{gathered} n(R)=12+15+24=51 \\ n(Y)=24 \\ n(B)=25 \end{gathered}$

The total number of baloons is given by:

$\begin{gathered} n(S)=n(R)+n(Y)+n(B) \\ n(S)=51+24+25 \\ n(S)=100 \end{gathered}$

The probability of both red baloons is given by:

$\begin{gathered} P(R,R)=\frac{^{51}^{}C_2}{^{100}C_2} \\ P(R,R)=\frac{17}{66} \end{gathered}$

Hence the probability of both red baloons is 17/66 or 0.2575757....