Answer:
# The probability of drawn a red marble is 1/4 , 0.25 , 25%
# The probability of drawn a red or green marble is 11/16 , 0.6875 , 68.75%
# The probability of drawn an orange marble is 0/176 , 0.0 , 0%
Step-by-step explanation:
* Lets explain how to solve the problem
- Probability of any event = number of event/total out comes
- There are 77 green marbles
- There are 55 blue marbles
- There are 44 red marbles
- The marbles selected is replaced before the next marble is drawn
* Lets solve the problem
∵ There are 77 green marbles , 55 blue marbles and 44 red marbles
∴ The total number of marbles are = 77 + 55 + 44 = 176 marbles
# The probability of drawn a red marble
∵ The number of the red marbles is 44
∵ The total number of marbles is 176
∴ P(red) = 44/176 = 1/4
∵ 1/4 = 0.25
∵ 1/4 × 100 = 25%
∴ The probability of drawn a red marble is 1/4 , 0.25 , 25%
# The probability of drawn a red or green marble
- The word or in probability means add the probability of the events
∵ P(red) = 44/176
∵ The number of the green marbles is 77
∵ The total number of marbles is 176
∴ P(green) = 77/176
∴ P(red or green) = P(red) + P(green
∴ P(red or green) = 44/176 + 77/176 = 121/176 = 11/16
∵ 11/16 = 0.6875
∵ 11/16 × 100 = 68.75%
∴ The probability of drawn a red or green marble is 11/16 , 0.6875 ,
68.75%
# The probability of drawn an orange marble
∵ There is no orange marble
∴ P(orange) = 0/176 = 0
∴The probability of drawn an orange marble is 0/176 , 0.0 , 0%
