If two coins are tossed simultaneously, write the probability distribution of the number of heads.

Question 83 of 88

Q. If two coins are tossed simultaneously, write the probability distribution of the number of heads.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2024Subjective· 2mImportance★★★★★

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Two-coin sample space $\{HH,HT,TH,TT\}$ ; $X=$ number of heads.

Sample space: $\{HH,HT,TH,TT\}$ , each with probability $\dfrac14$ . $X=$ number of heads $\in\{0,1,2\}$ .

$P(X=0)=P(TT)=\dfrac14$

$P(X=1)=P(HT)+P(TH)=\dfrac24=\dfrac12$

$P(X=2)=P(HH)=\dfrac14$

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Q.If two coins are tossed simultaneously, write the probability distribution of the number of heads.