Answer:
One of the balls is yellow: 0.36
At least one ball is red:0.73
Both balls are green:0.3
Both balls are of the same color:0.266
Step-by-step explanation:
To get the probability equally likely of choosing balls we use the following formula
P=# of possibilities that meet the condition / #of equally likely possibilities.
#of equally likely possibilities of the first experiment is 1+2+3=6
#of equally likely possibilities of the second experiment is 1+2+3 -1 =5 ( no replacement)
We choose 2 balls so we have to multiple or add the probability of the 2 experiments, that depends on the case
One of the balls is yellow:
1 experiment P{ One of the balls is yellow }= 1/6
2 experiment P{ One of the balls is yellow }= 1/5
P{ One of the balls is yellow }= 1/6+1/5=11/30
At least one ball is red:
1 experiment P{ One of the balls is red }= 2/6
2 experiment P{ One of the balls is red }= 2/5
P{ One of the balls is yellow }= 2/6+2/5=22/30
Both balls are green:
1 experiment P{ Both balls are green }= 3/6
2 experiment P{ Both balls are green }= 3/5
P{ Both balls are green }= 3/6*3/5=0.3
Both balls are of the same color
1 experiment P{ Both balls are green }= 3/6
2 experiment P{ Both balls are green }= 2/5
P{ Both balls are green }= 3/6*2/5=0.2
1 experiment P{ Both balls are red }= 2/6
2 experiment P{ Both balls are red }= 1/5
P{ Both balls are red }= 3/6*3/5=0.066
Both could happens so we add the probabilities
P{ Both balls are of the same color }=0.2+0.066=0.266
