If two balls are drawn in succession without replacement what is the probability that both are red

Let's denote R - red ball, B - blue ball.

Sample space S is all possible outcomes.

"S=\\{RR, RB, BR, BB\\}"

The possible values of the random variable "Z" are "0, 1, 2."

"\\def\\arraystretch{1.5}\n \\begin{array}{c:c}\n Possible \\ Outcomes & Z \\\\ \\hline\n RR & 0 \\\\\n \\hdashline\n RB & 1 \\\\\n \\hdashline\n BR & 1 \\\\\n \\hdashline\n BB & 2 \\\\\n \\hdashline\n\\end{array}"

Construct the probability distribution of the random variable

"P(RR)=\\dfrac{5}{11}(\\dfrac{4}{10})=\\dfrac{2}{11}""P(RB)=\\dfrac{5}{11}(\\dfrac{6}{10})=\\dfrac{3}{11}""P(BR)=\\dfrac{6}{11}(\\dfrac{5}{10})=\\dfrac{3}{11}""P(BB)=\\dfrac{6}{11}(\\dfrac{5}{10})=\\dfrac{3}{11}""\\def\\arraystretch{1.5}\n \\begin{array}{c:c}\n z & 0 & 1 & 2 \\\\ \\hline\n p(z) & 2\/11 & 6\/11 & 3\/11 \n\\end{array}"

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