Q:

A mixture of candies contains 6 mints, 4 toffees and 3 chocolates. If a person makes a random selection of one of these candies, find the probability of getting a toffee or a chocolate.

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A mixture of candies contains 6 mints, 4 toffees and 3 chocolates. If a person makes a random selection of one of these candies, find the probability of getting a toffee or a chocolate.

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The sample spase is:
S={m_1,m_2,m_3,m_4,m_5,m_6,t_1,t_2,t_3,t_4,c_1,c_2,c_3}
M={getting a minit} ={m_1,m_2,m_3,m_4,m_5,m_6}
n(M)=6 →P(M)=(n(M))/(n(S))=6/13
T={getting a toffee} ={t_1,t_2,t_3,t_4}
n(T)=4 →P(T)=(n(T))/(n(S))=4/13
T={getting a chocolate} ={c_1,c_2,c_3}
n(C)=3 →P(C)=(n(C))/(n(S))=3/13
∵T,M,C mutually exclusive events     →T∩C∩M=∅
P(T∪C)=P(T)+P(C)=4/13+3/13=7/13

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