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Mathematics

Grade-4-

Easy

Question

When a coin is tossed thrice, the probability of an event of head appearing twice is _____.

$\frac{1}{8}$
$\frac{3}{8}$
$\frac{4}{8}$
$\frac{5}{8}$

The correct answer is: $3 over 8$

When a coin tossed three times the possible outcomes are
$open curly brackets H H H space comma space H H T space comma H T H space comma space H T T thin space comma space T H H thin space comma T H T space comma T T H space comma space T T T close curly brackets$
where , H denotes head and T denotes tails . And the no. of possible outcomes is 8 .
The events in which two heads appear are $open curly brackets H H H space comma space H H T space comma space H T H space comma space T H H close curly brackets$
No. of events which have two heads apear is 4.
The required probability =
$space space space space space 4 over 8 equals 1 half$
Correct choice is 3 .

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