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

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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