Please help hard math
1 answer:
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Answer:
Step-by-step explanation:
Total number of questions = 20
Possible options for each question = 4
Sample space contains the total number of possible outcomes.
For every question there are 4 possible ways to select an answer. This holds true for all 20 questions. Selecting an answer for a question is independent of other questions/answers,
According to the counting principle, the total number of possible outcomes will be the product of the number of possible outcomes of individual events. Possible outcomes for each of the 20 questions is 4. This means we have to multiply 4 twenty times to find the total number of possible outcomes.
So, the number of elements in the sample space would be:
Answer:
0.55
Step-by-step explanation:
There are four things you need to keep in mind,and the question is too easy to solve , so following are those four things
1)Jamal travelling by Taxi before 7 PM
It is given that Jamal uses the bus for 70 percent of the time so he will use the taxi for (100-70)%=30% of the time.
and also it is given that he arrives home by taxi after 7 PM , 15% of the time so he will arrive home by taxi before 7 PM ,(100-15)=85% of the time,
so by multiplication law of probability , the probability that Jamal will arrive by taxi before 7 PM =0.30*0.85=.255
2)Jamal travelling by Taxi after 7 PM
Similarly by considering the above situations as described in first part,
the probability that Jamal will arrive by taxi after 7 PM=0.30*0.15=.045
3) Jamal travelling by Bus before 7 PM
Now considering the case of the bus, it is given that Jamal arrives home after 7 PM 8 percent of the time. so for before 7 PM it will be 100-8= 92%
Similarly the probability that Jamal will arrive by bus before 7 PM=0.70*0.92=.644
4) Jamal travelling by Bus after 7 PM
Similarly on the basis of above explanation we can easily say that the probability that Jamal will arrive by bus after 7 PM=0.70*.08=.056
so, the probability that Jamal chose to get home from work by bus, given that he arrived home after 7 pm=