The probability of two independant events \(P_a\) and \(P_b\) can be found by multiplying the individual probabilities like so:
\(P_t=P_{a}*P_b\)
For each individual probability we can find the answer via a simplfied representation:
\(P_x = \frac{wanted}{total}\)
For the first skittle (red) we have:
\(P_{red} = \frac{red}{total}=\frac{5}{10}=0.5\)
For the second skittle (orange) we have:
\(P_{orange} = \frac{2}{9} = 0.2222...\)
**(Notice that the total is now NINE since we didn't put the first red one back in the bag.)
So:
\(P_{total} = P_{red} \times P_{orange}\)
\(P_{total} = \frac{5}{10} \times \frac{2}{9}\)
\(P_{total} = \frac{10}{90}=\frac{1}{9} \approx 0.1111 \approx 11.11\%\)
