Question

A bag contains 5 red, 8 black, 7 white balls. One ball is chosen at random, then what is
the probability that the chosen ball is black?

Answer 1

Given : A bag Contains 5 red, 8 black, 7 white balls .

To Find : Find the Probability of getting Black ball

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SolutioN : For Calculating the Probability . Let's Solve :

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Probability = \dfrac{ Favourable \; Outcomes }{ Total \; Outcomes } }}}}}$

$\maltese$ Calculating the Probability :

$\begin{gathered} \qquad \; \longrightarrow \; \sf { Probability = \dfrac{ Favourable \; Outcomes }{ Total \; Outcomes } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \sf { Probability = \dfrac{ No. \; of \; Black \; Balls }{ Total \; Balls } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \sf { Probability = \dfrac{ 8 }{ 5 + 8 + 7 } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \sf { Probability = \dfrac{ 8 }{ 20 } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \sf { Probability = \cancel\dfrac{ 8 }{ 20 } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; {\underline{\boxed{\pmb{\sf{ Probability = \dfrac{2}{5} }}}}} \; {\purple{\bigstar}} \\ \\ \\ \end{gathered}$

$\therefore \;$ Probability of getting Black ball is ⅖ .

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