29, 19, 9, -1, ... please help me out;(
2 answers:
You might be interested in
Answer:
<u><em></em></u>
- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
<u><em></em></u>
Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:
And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:
Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:
The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:
Answer:
1/6
Step-by-step explanation:
Make the denominators the same by finding the lcm(least common denominator). The least common demominator would be 24. So multiply both numbers in 1/8 by 3. This would eaqual 3/24. Multiply both numbersin 4/3 by 8. This would equal =
. Simplify 96/576 by dividing both numbers by 96.
<u>96</u> ÷ 96 = <u> 1 </u> 576 ÷ 96 = 6 and that becomes 1/6.