Question

An ordinary fair dice is rolled.

P(A) = ²/12
Which of the statements below could be correct about event A?
Select one statement.
A The number rolled is greater than 4
B The number rolled is even
C The number rolled is prime
D The number rolled is less than 2

Answer 1

Step-by-step explanation:

The sample space for rolling a number cube with faces labeled 1 to 6 is {1, 2, 3, 4, 5, 6}.

Event- A is a set of all even number .hence

Event A:{2,4,6} ,

Event B is a set of all outcomes less than 4.hence

Event B:{1,2,3}

a.Event A and B is the intersection of the two events: {2}, as this is the only number that is even and less than 4.

Hence event A and B is {2}.

Step-by-step explanation:

To find the outcomes for event A and B, we need to determine the intersection of the two events, which means finding the outcomes that satisfy both event A and event B. Event A is the event that the number rolled is even, and event B is the event that the number rolled is less than 4.

The even numbers in the sample space are 2, 4, and 6. The numbers less than 4 in the sample space are 1, 2, and 3. The only number that satisfies both events is 2, since it is both even and less than 4. Therefore, the outcomes for event A and B is the set {2}.