Answer:
5/14
Step-by-step explanation:
7+5+2=14 and there are 5 blue marbles to the answer is just the ratio of blue marbles to total marbles.
The probability of choosing a blue marble when one marble is drawn is- [tex]0.357[/tex]
We have -
[tex]n(r)=7\;marbles\\n(b)=5\;marbles\\n(g)=2\;marbles\\[/tex]
We have to find the probability of choosing a blue marble when one marble is drawn.
The formula to calculate the probability of occurrence of an event 'A' can be written as -
[tex]P(A)=\frac{n(A)}{n(S)} = \frac{no.\;of\;favorable\;outcomes\;to\;event\;A }{Total\;no.\;of\;possible\;outcomes\;in\;sample\;space}[/tex]
Since the total number of blue marbles in the bag = [tex]n(r) =5[/tex] , therefore [tex]n(A)=5[/tex].
The total number of marbles in the bag = [tex]n(r)+n(b)+n(g)=14[/tex], therefore [tex]n(S) = 14[/tex]
The probability of choosing a blue marble when one marble is drawn is:
[tex]P(A)=\frac{5}{14} = 0.357[/tex]
Hence, the probability of choosing a blue marble when one marble is drawn is -
[tex]P(A)=\frac{5}{14} = 0.357[/tex]
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