A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) What is the probability of getting an even number in one throw? : Crackverbal Support

A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) What is the probability of getting an even number in on Print

Modified on: Tue, 12 Oct, 2021 at 4:02 PM

CONCEPT: The question tests on the basics of Probability

SOLUTION:

The probability of the faces are proportional to the numbers on them,
=>Let the probabilities of faces bearing 1,2,6 be x,2x,......,6x respectively.

Since one of the faces must occur, we have
x+2x+3x+4x+5x+6x=1

⇒x= 1/21
Thus, the probability of an even number =2x+4x+6x= 12x=12* (1/21) =4/7 (OPTION D)[

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A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) What is the probability of getting an even number in on Print

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