Suppose that two integers from the set of 8 integers {1, 2, … , 8} are...

Suppose that two integers from the set of 8 integers {1, 2, … , 8} are choosen at random. Find the probability that

5 and 8 are picked.

Both numbers match.
Sum of the two numbers picked is less than 4.

[3+3+4 marks] Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that:

The bit string has the sum of its digits equal to seven.
The bit string has more 0s than 1s.

The bit string has exactly two 1s, given that the string begins with a 1

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Expert Solution

orchestra answered 1 year ago

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