Answer:
since we have 6 witnesses and 5 men so,
therefore the probability that they would pick the same man is to 5 decimal places
Step-by-step explanation:
probability is the likelihood of an event occurring or not happening.
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Given:
x, y and z are integers.
To prove:
If is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then is even.
is always odd. [Using (i)]
is always odd. [Using (i)]
is always even. [Using (ii)]
is always odd. [Using (iii)]
is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.