Suppose an object is 4 sided marked as {1,2,3,.., 4. Now you toss this object 4...

Suppose an object is 4 sided marked as {1,2,3,.., 4. Now you toss this object 4 times. Let nS be the number of outcomes in this sample space. Let A be the event consisting of all outcomes in which 2 occurs at least once. How many outcomes are there in A? It is whole number. Computer follows comma rule when entering large numbers. For example, 1123 is entered as 1,123

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Expert Solution

Object has 4 sides:

Object tossed 4 times:

object has 4 values : And object is tossed four times : Therefore number of outcomes = 4 x 4 x 4 x 4

nS : Number of outcomes in this sample space = 4 x 4 x 4 x 4 = 256

nS : Number of outcomes in this sample space = 256

A be the event consisting of all outcomes in which 2 occurs at least once :

: Complement of A = the event consisting of all outcomes in which 2 does not occur at all

Assume that object does not have a side with 2 ; Therefore number of sides = 3

This object is tossed 4 times ; Number of outcomes = 3 x 3 x 3 x 3

Number of outcomes for Event = 3 x 3 x 3 x 3=81

Number of outcomes for Event A = Number of outcomes in this sample space - Number of outcomes for Event = 256-81 = 175

Number of outcomes for Event A = 175

orchestra answered 1 year ago

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