The numbers 1-10 are written on note cards and placed in a bag. One card will be drawn from the bag at random..

List the sample space for this experiment.

Are the events selecting an even number and selecting an odd number equally likely? Explain.

Are the events selecting a number divisible by 3 and selecting a number divisible by 5 equally likely? Explain.

Sample space: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Yes, both have 50% probability

No, first event has 30% probability and second one has 20% probability

Step-by-step explanation:

As we have a total of 10 note cards, each if a number from 1 to 10 (each card with a different number) and we want to draw one card at random, the sample space is each of the 10 numbers in the note (sample space with 10 elements):

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

From this 10 numbers, we have a total of 5 odd numbers and 5 even numbers, so the events of selecting an even number and selecting an odd number are equally likely (the probability of both events are 5/10 = 50%)

The numbers from the sample space divisible by 3 are:

3, 6, 9 (so a total of 3 elements, probability of 3/10 = 30%)

The numbers from the sample space divisible by 5 are:

5, 10 (so a total of 2  elements, probability of 2/10 = 20%)

As the probabilities are different, these events are not equally likely

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights