The answer to this question would be: 2*52! -1
In this case, the card is either picked up by Naoko or they are not picked up. That means there are two possible outcomes for each card. For 52 card, the possibility should be:
2*52!
If Naoko needs to pick at least one, the possibilities become one less because "no card picked" possibility is ruled out
Answer:

Step-by-step explanation:
Given
See attachment for complete question
Required

From the attachment, we have:

---- the sample size
Next, we list out all outcomes more than or equal to 5.
i.e.

5 is represented with the vertical blue rectangle (with frequency 21).
So, the other elements are to the right of frequency 21.
So, we have:


The probability is then calculated as:

This gives


Bob the builder and the other
1700, just use the inverse operation. The problem would look like this ( not inverse operation ) x ÷ 33 1/3 = 51
All you have to do is multiply the two numbers.
51 x 33 1/3 = 1700
Now plug it back in and check
1700 ÷ 33 1/3 does indeed equal 51.
Answer:
(a) $ 30000 + 1500 t
(b) $ 52500
Step-by-step explanation:
Initial profit = # 30,000
Profit increases every year by 5 %.
(a) Let the profit after t year is
P = $ 30,000 + 5% of 30,000 t = $ 30000 + $ 1500 t
(b) t = 15 years
P = $ 30000 + $ 1500 x 15 = $ 52500