Design a Decision tree classifier using IRIS dataset given below and estimate the probability for petal length $=5cm$ long and petal width $=1\mathrm{.}5cm$ wide along with the performance of classifier.

$\backslash$table$[[$Sepal Length,Sepal width,Petal Length,Petal Width,Class$],[5\mathrm{.}10,3\mathrm{.}50,1\mathrm{.}40,0\mathrm{.}20,$Iris$-$setosa$],[4\mathrm{.}90,3\mathrm{.}00,1\mathrm{.}40,0\mathrm{.}20,$Iris$-$setosa$],[7\mathrm{.}00,3\mathrm{.}20,4\mathrm{.}70,1\mathrm{.}40,$Iris$-$versicolor$],[6\mathrm{.}40,3\mathrm{.}20,4\mathrm{.}50,1\mathrm{.}50,$Iris$-$versicolor$],[6\mathrm{.}90,3\mathrm{.}10,4\mathrm{.}90,1\mathrm{.}50,$Iris$-$versicolor$],[6\mathrm{.}30,3\mathrm{.}30,5\mathrm{.}00,2\mathrm{.}50,$Iris$-$virginica$],[5\mathrm{.}80,2\mathrm{.}70,5\mathrm{.}10,1\mathrm{.}90,$Iris$-$virginica$],[7\mathrm{.}10,3\mathrm{.}00,5\mathrm{.}90,2\mathrm{.}10,$Iris$-$virginica$]]$