Question

A die has six faces numbered from 1 to 6. It is rolled and number on the top face is noted. When this is treated as a random trial.
a) What are the possible outcomes ?
b) Are they equally likely? Why?
c) Find the probability of a composite number turning up on the top face.

Answer 1

Ans:(a): Sample Space : { 1,2,3,4,5,6}
No. of possible outcomes : 6

b) Yes, they are equally likely as Probability of happening of all outcomes individually is same.

c) Composite No. : { 4,6}
=> n(E) = 2
=>n(S) = 6

Therefore,
Required Probability = 2/6= 1/3

Answer 2

Hi,

we all play Ludo in our childhood and know that dice has six faces ,with number mark from 1 to 6.

1) while rolling a dice we know that possible outcomes are 6.
1, 2 ,3 ,4 ,5 ,6

2) Rolling a dice is an equally likely.

for having an event equally likely probability of occurrence of all outcomes are same.

for eg Tossing a coin,Drawn a card from well shuffle deck of cards all are equally likely events.

3) from 1 to 6 ,composite numbers are 4 and 6.
favourable outcome: 2
possible outcome 6

probability of having composite number on the top face = 2/6

= 1/3

hope it helps you.