Let s = {1, 4, 6, 9}

determine the total number of sets b that satisfy 1∈b and b⊆s. (be able to list all possible sets b.)

There are 8 sets B that satisfy the conditions.

Step-by-step explanation:

We have to find the total subsets of S that have 1 as an element.

Subsets B with one element: {1}

Subsets with two elements: {1,4}, {1,6}, {1, 9}

Subsets with three elements: {1,4,6}, {1,4,9}{1,6,9}

Subsets with four elements: {1,4,6,9}

Therefore, B = {1, {1,4}, {1,6}, {1, 9}, {1,4,6}, {1,4,9}, {1,6,9}, {1,4,6,9}}

a. -0.3 > -0.33

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: