Question

List all the possible outcomes of picking an even number from the first 10 even
numbers and find the probability of getting a 6.
b) The probability of a sure event is
C) The probability of an impossible event is State Pythagoras Theorem

Answer 1

The sample space has 6 possible outcomes-

S={1,2,3,4,5,6}.

Let all outcomes are equally likely(fair dice).

Hence Probability of any one outcome occurring= 1/6.

The event that we get that an even number on tossing the die can occur in 3 possible ways.

Let E denote this event.

E={2,4,6}

Now P(E)= 3×1/6=1/2