Question

There are ten cards on the table, on which the numbers are written: 1;2;3;4;5;6;7;8;9;10.1) Write down the sample of all possible outcomes of the test.2) Write down a set of event-friendly outcomes if the event is:A - above number 7 ;B - not above number 5 ;C - a divisible by 4;D - is the prime number written.3) Calculate the probabilities of events A, B, C, and D.

Answer 1

1. The possible outcomes are {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. These are the possible results if the event is to pick up a random card.

2.

a. The set of favorable outcomes if the event is above number 7 is {8, 9, 10}.

b.The set of favorable outcomes if the event is not above number 5, meaning, less than or equal to 5 is {1, 2, 3, 4, 5}.

c. The set of favorable outcomes if the event is divisible by 4 is {4, 8} only.

d. The set of favorable outcomes if the event is a prime number is {2, 3, 5, 7}.

3.

a. Since there are 3 favorable outcomes out of 10, the probability of the event above number 7 is 3/10 or 0.3 or 30%

b. Since there are 5 favorable outcomes out of 10, the probability of the event not above number 5 is 5/10 or 0.5 or 50%.

c. Since there are 2 favorable outcomes out of 10, the probability of the event divisible by 4 is 2/10 or 0.2 or 20%.

d. Since there are 4 favorable outcomes out of 10, the probability of the event being a prime number is 4/10 or 0.4 or 40%.