Answer: The correct number of balls is (b) 4.
Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.
We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.
Let 'r' represents the number of balls to be picked up.
Since we are choosing from 10 balls, so we must have
The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then
If r = 2, then
If r = 3, then
If r = 4, then
Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.
Thus, (b) is the correct option.
the correct question in the attached figure<span>
we know that
</span>the probability
that a witness picks a particular person by chance-----> P=1/5
the probability
that all 7 witnesses would pick the same person-----> P=1/5^7=0.0000128
the answer is the option B 0.0000128
<span>There are a variety of problems in which the number of witnesses change, for example
</span><span>....find the probability that all
9 witnesses would pick the same person
</span>in this case, the probability would be-------> P=1/5^9=0.000000512<span>
</span>
Let price of the Caleb's groceries was $x.
Given that tax rate is 2.5% or 0.025
Then sales tax is given by product of 0.025 and x.
which is 0.025x.
Given that tax paid is $1.60 so both must be equal
divide both side by 0.025
Hence final answer is $64.
Answer:
The scale of the copy of the ticket is 
Step-by-step explanation:
we know that
To find the scale divide the long of the copy of a ticket by the long of the original of a ticket
so
