An experiment consists of drawing two numbers out of a hat one after the other containing the numbers 1, 3, 5, 6. The two numbers are then recorded as a 2-digit number. The number drawn is NOT put back in the hat before drawing the second. Do the following: List the sample space 30 Let F = the event of getting a number whose first digit is odd Let S= the event of getting a multiple of 3 1. Find P(F and S) = 2. Find P(F) = 3. Find P(FIS) = Are F and S independent events? Justify

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An experiment consists of drawing two numbers out of a hat one after the other containing the
numbers 1, 3, 5, 6. The two numbers are then recorded as a 2-digit number. The number drawn is
NOT put back in the hat before drawing the second. Do the following:
30
List the sampile space.
Let F = the event of getting a number whose first digit is odd
Let S= the event of getting a multiple of 3
1.
Find P(F and S) =
2.
Find P(F) =
3.
Find P(FIS) =.
4.
Are F and S independent events?
Justify
w many outcomes in
space, In th
compute n(S).
Transcribed Image Text:nts An experiment consists of drawing two numbers out of a hat one after the other containing the numbers 1, 3, 5, 6. The two numbers are then recorded as a 2-digit number. The number drawn is NOT put back in the hat before drawing the second. Do the following: 30 List the sampile space. Let F = the event of getting a number whose first digit is odd Let S= the event of getting a multiple of 3 1. Find P(F and S) = 2. Find P(F) = 3. Find P(FIS) =. 4. Are F and S independent events? Justify w many outcomes in space, In th compute n(S).
Expert Solution
Step 1

A sample space is the set of all possible outcomes of a random experiment. It is usually denoted using the set theory notation i.e. within a {}.

When we calculate the probability of an event associated with this random experiment, it consists of none/some/all of the elements of that sample space giving the probability value as 0/any proper fraction/1 respectively.

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