Question 19A box contains $11$ balls, numbered $1,$ $2,$ $3,$ $\ldots,$ $11.$ If $6$ balls are drawn simultaneously at random, what is the probability that the sum of the numbers on the balls drawn is odd?$\frac{100}{231}$$\frac{115}{231}$$\frac12$$\frac{118}{231}$$\frac6{11}$