A.Write the sample space for each experiment.
1) A toss of a coin and a die
2) A coin tossed three times
3) A toss of three coins once
4) A letter of the English alphabet picked at random from a box
5) Bernadette has 3 coins in her pocket, one 25-centavo com, a peso coin and a 5-peso coin from which she will draw two coins to pay a piece of chicklet. She first draws out a coin then she takes the second coin. Construct a tree graph/diagram to show the possible outcomes. Write the sample space for the situation.
1) A toss of a coin and a die
2) A coin tossed three times
3) A toss of three coins once
4) A letter of the English alphabet picked at random from a box
5) Bernadette has 3 coins in her pocket, one 25-centavo com, a peso coin and a 5-peso coin from which she will draw two coins to pay a piece of chicklet. She first draws out a coin then she takes the second coin. Construct a tree graph/diagram to show the possible outcomes. Write the sample space for the situation.
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Answer:
1) Sample space: {(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}
2) Sample space: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
3) Sample space: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
4) Sample space: {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}
5) Tree diagram:
25c Peso 5 peso
/ \ / \ / \
25c Peso 25c 5 peso Peso 25c
/ \ / \ / \
25c 5 peso Peso 25c 5 peso 5 peso Peso
Sample space: {(25c, peso), (25c, 5 peso), (peso, 25c), (peso, 5 peso), (5 peso, 25c), (5 peso, peso)}
Answer:
1. SS: (h,t) SS: (1,2,3,4,5,6)
2. SS: (HTT,HHT,THH,TTH,HTH,THT)
3. SS: (HTT,HHT,THH,TTH,HTH,THT)
4. SS: (A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z)
5. SS: (25,1,5)
Step-by-step explanation:
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