Chapter 0, Problem 56PO

To determine

The probability of finding non-black marbles from the jar.

Answer to Problem 56PO

  $P=0.867$

Explanation of Solution

Given:

Red marbles = 3

Green marbles = 4

Black marbles = 2

Blue marbles = 6

Formula used:

Probability (P) = $\frac{\text{Possible event}\left(PE\right)}{\text{Total event}\left(TE\right)}$

Calculation:

Total number of marbles,

  $\begin{array}{l}TE=3+4+2+6\\ TE=15\end{array}$

Total non-black marbles,

  $\begin{array}{l}PE=3+4+6\\ PE=13\end{array}$

By the probability formula,

  $\begin{array}{l}P=\frac{PE}{TE}\\ P=\frac{13}{15}\\ P=0.867\end{array}$

Conclusion:

Hence, the probability of finding non-black marbles from the jar is 0.867.