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A marble is selected from a bag containing eight marbles numbered 1 to 8
The number on the marble selected will be recorded as the outcome.

Consider the following events.
Event A: The marble selected has a number of less than 4
Event B: The marble selected has an even number.

Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.

A marble is selected from a bag containing eight marbles numbered 1 to 8 The number on the marble selected will be recorded as the outcome Consider the followin class=

Respuesta :

Answer:

'A or B'   =   {1,2,3,4,6,8}

'A and  B'   =    {2}

The complement of A  =  {4,5,6,7,8)

Step-by-step explanation:

Here, the sample space of possible outcomes = { 1,2,3,4,5,6,7,8}

Event A: The marble selected has a number of less than 4

So, favorable outcomes here=  {1,2,3)

Event B: The marble selected has an even number.

So, favorable outcomes here=  {2,4,6,8)

Total number of outcomes in Event 'A or B' =  A U B  =   {1,2,3,4,6,8}

⇒ 'A or B'   =   {1,2,3,4,6,8}

Total number of outcomes in Event 'A and  B' =  A ∩ B  =   {2}

⇒ 'A and  B'   =    {2}

Now, The complement of A  = Sample Space  - Element in A

                                                 = {4,5,6,7,8}

⇒The complement of A  =  {4,5,6,7,8)

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