English
Hindi
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

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