Respuesta :
To answer this question, you will multiply the chance of NOT having english homework (100-70=30% chance) by the chance of her NOT having math homework (100-60=40%).
This would be 0.3 x 0.4=0.12 or 12% chance of both occurring.
This would be 0.3 x 0.4=0.12 or 12% chance of both occurring.
Answer:
B. 12%
Step-by-step explanation:
We have been given that Ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have English homework.
Since we know that probability of not happening an event can be found by subtracting probability of happening the event from 1.
[tex]\text{P(No math homework tonight)}=1-0.6=0.4[/tex]
[tex]\text{P(No English homework tonight)}=1-0.7=0.3[/tex]
Since both events are independent so we will multiply probability of no math homework tonight by probability of no English homework to find no math or English homework tonight.
[tex]\text{P(No math or English homework tonight)}=0.4\times 0.3[/tex]
[tex]\text{P(No math or English homework tonight)}=0.12[/tex]
Converting 0.12 to percent we will get,
[tex]0.12\times 100=12\%[/tex]
Therefore, the probability that Ella will not have math or English homework tonight is 12%.
