a bag contains 5 blue balls, 4 red balls, and 3 orange balls. if a ball is picked from the bag at random, what is the probability that it is a blue ball? answers have been rounded to the tenths place.
5 / ( 5 + 4 + 3 ) = 41.6%
All the balls make 100% of the balls (12), 5 balls are blue, so you divide 5 blue balls, by 100% of the balls (12) to arrive at the percentage of probability of pulling a blue ball from the bag.
Answer: \(41.7\%\)
Step-by-step explanation:
Given: The number of blue balls in the bag= 5
The total number of balls in the bag= \(5+4+3=12\)
If a ball is picked from the bag at random, then the probability that it is a blue ball will be given by :-
\(\text{P(Blue)}=\frac{\text{Blue balls}}{\text{Total balls}}\\\\\Rightarrow\ \text{P(Blue)}=\frac{5}{12}=0.41666\approx\)
In percent , the probability that it is a blue ball =\(0.416666\times100=41.666\%\approx41.7\%\)
Hence, the probability that it is a blue ball is \(41.7\%\).