1.

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»

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





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