Answer: 1) 7/10 2) 15 3) 240 4) 1/4 5) 4/9 6) 1/20 7) No, not independent
Step-by-step explanation:
1. 4 green+3red+2blue+1yellow = 10 total
if 3/10 are red, then 7/10 are not red. So the second option, 7/10
2. 3 cartons in every 40
40*5 = 200
so do 3*5 = 15
so 15 or the third option
3. 40 out of 110
110*6 = 660
so do 40*6 = 240
so 240 or the fourth option
4.
Flipping heads: 1/2
rolling even: well, there is 2, 4, and 6, or 3 even numbers so 3/6 or 1/2
do 1/2*1/2 = 1/4
so 1/4 or the third option
5. Numbers more than 2: 3, 4, 5, 6 (4 numbers)
4/6 or 2/3 chance the first time, 2/3 chance the second time
do 2/3*2/3 = 4/9
so 4/9 or the second option
6. 5 dishes and 4 desserts
1/5 chance of picking the dish
1/4 chance of picking the dessert
do 1/5*1/4 = 1/20
so 1/20 or the fourth option
7. Since you don’t replace the marble after picking it, it affects the outcome of the second draw. Therefore the events are dependent, or not independent. So the second option.
