Probability and Statistics Quiz

Events are equally possible if …

• none of them will necessarily happen as a result of a trial

• there is reason to consider that none of them is more possible (probable) than other

• there is reason to consider that one of them is more possible (probable) than other

• at least one of them will necessarily happen as a result of a trial

• one of them will necessarily happen as a result of a trial

The probability of the event A is determined by the formula

• PA=|Ω||A|, where is the space of elementary outcomes

• PAB=|A||B|, where is the space of elementary outcomes

• PA= A|Ω|, where is the space of elementary outcomes

• PA=λmm!e-λ, where λ is the space of elementary outcomes

• PBA=λmm!, where is the space of elementary outcomes

The probability of a reliable event is equal to …

• 1

• 0

• ½

• 1/3

• 1/5

The probability of an impossible event is equal to …

• 0

• 1

• ½

• 1/3

• 1/5

The probability of a random event is …

• the positive number between 0 and 1

• the positive number between 0 and ½

• the positive number between 0 and 10

• the positive number between 0 and 1/3

• the positive number between 0 and 1/5

The relative frequency of the event A is defined by the formula:

• WA=mn, where m is the number of appearances of the event, n is the total number of trials.

• WA=mn, where n is the number of appearances of the event, m+1 is the total number of trials.

• WA=mn, where m+1 is the number of appearances of the event, n is the total number of trials.

• WA=m+1n, where m is the number of appearances of the event, n is the total number of trials.

• WA=mn+1, where m is the number of appearances of the event, n is the total number of trials.

The number of all possible permutations

• Pn=n!

• Pn=n!m!

• Pn=n!m!n-m!

• Pn=n!n-m!

• Pn=(n+1)!

The number of all possible allocations

• Anm=n!n-m!

• Anm=n!m!n-m!

• Anm=n-m!

• Anm=m-n!

• Anm=1

The number of all possible combinations

• Cnm=n!m!n-m!

• Cnm=n!n-m!

• Cnm=m!n!

• Cnm=n!m!

• Cnm=n!

The numbers of allocations, permutations and combinations are connected by the equality

• Anm=PmCnm

• Anm=PnCnm

• Anm=Pm

• Anm=PmCmn

• Anm=n!Cnm