Question

please help me with this question. please know that if we lose connection it isn’t intentional, my app keeps crashing.

Answer 1

Given:

`\begin{gathered} Total\text{ number of crayons = 24} \\ Number\text{ of red crayons = 8} \\ Number\text{ of yellow crayons = 7} \\ Number\text{ of blue crayons = 9} \end{gathered}`

Required:

Probability of removal of the crayon as blue, red, and yellow respectively

Step-by-step explanation:

The probability of removal of the first blue crayon is calculated as,

`\begin{gathered} Probability\text{ = }(^9C_1)/(^(24)C_1) \\ Probability\text{ =}(9)/(24) \end{gathered}`

The probability of removal of the second red crayon is calculated as,

`\begin{gathered} Probability\text{ = }(^8C_1)/(^(24)C_1) \\ Probability\text{ = }(8)/(24) \end{gathered}`

The probability of removal of the third yellow crayon is calculated as,

`\begin{gathered} Probability\text{ = }(^7C_1)/(^(24)C_1) \\ Probability\text{ = }(7)/(24) \end{gathered}`

Therefore the required probability is calculated as,

`\begin{gathered} Required\text{ probability = }(9)/(24)\text{ }*\text{ }(8)/(24)\text{ }*\text{ }(7)/(24) \\ Required\text{ probability = }(9*8*7)/(24*24*24) \\ Required\text{ probability = }(504)/(13824) \\ Required\text{ probability = 0.0365} \\ \end{gathered}`

Answer:

Thus the required probability is 0.0365