Answer:
C.1/6
Step-by-step explanation:
Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;
(number of $5 bills) / (total number of bills)
= (6)/(4+6) = 3/5
If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (5)/(4+5) = 5/9
The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.
Now, the probability of picking a $5 bill in the third attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (4)/(4+4) = 1/2
Since the three attempts are independent, the probability of picking all three $5 bills is;
3/5 * 5/9 * 1/2 = 1/6
Answer:
68,600
Step-by-step explanation:
The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Defensive Lineman:
3 from a set of 8. So
56 combinations of defensive lineman
Linebackers:
4 from a set of 7. So
35 combinations of linebackers
Defensive backs:
4 from a set of 7. So
35 combinations of defensive backs
How many different ways can the coach pick the 11 players to implement this particular defense?
56*35*35 = 68,600
68,600 different ways can the coach pick the 11 players to implement this particular defense
Answer:
A) The amount of change held by a teacher at the end of each day for a year.
Step-by-step explanation:
A normal distribution has a bell-shaped density curve described by its mean and standard deviation.
A) The amount of change held by a teacher at the end of each day for a year - This is probably near normal because the teacher cannot have negative cents in her or his pocket.
Answer:
3: 0.625
4: 2.2
7: 1.083
8: 4.285
11: 1.1
12: 0.08
Step-by-step explanation:
