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14.Probability
easy
ત્રણ સિક્કાને એક સાથે ઉછાડતાં ઓછામાં ઓછી એકવાર હેડ (છાપ) આવવાની સંભાવના કેટલી મળે ?
A
$1/2$
B
$3/4$
C
$1/8$
D
$7/8$
Solution
The possible outcomes when three coins are tossed together are \{HHH, T T T, THT, T TH, HHT, HTH, THH, HTT $\}$. Therefore, the number of possible outcomes when two coins are tossed is $8$.
Now, the possible outcomes of getting at least one head are \{ HHH, THT, T TH, HHT, HTH, THH, HT T $\}$, which means the number of favourable outcome is $7$.
Therefore, probability $P$ of getting at least one head is:
$P=\frac{7}{8}$
Hence, the probability of getting at least one head is $\frac{7}{8}$.
Standard 11
Mathematics