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Equally Likely Events

Which of the ...

Question

Which of the following events are equally likely events ?

A

Landing on one of its face when a matchbox is thrown.

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B

Getting number '6' on a throw of a die.

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C

Getting a 'head' on tossing of a coin.

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D

Drawing a ball from a box containing balls of different colors and sizes.

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Solution

The correct options are
B Getting number '6' on a throw of a die.
C Getting a 'head' on tossing of a coin.
Die and matchbox both have six faces.
Die has uniform faces, but a matchbox does not.
Therefore there is more chance of a matchbox landing on its broader face. Hence the outcomes are not equally likely.

In case of drawing a ball from a box containing balls of different sizes, there will be more chance that a larger size ball will be withdrawn as compared to smaller one. Hence, here also outcomes are not equally likely.

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