Answer:
1. Diamond: 12/52
Face card: 12/52
King: 4/52
Any of the three: 12 + 12 + 4= 28/52= 7/13 = 53.8%
2. ● 217.5 pesos
● 1916 2/3÷2=958 1/3 pesos each sack of rice.
● The sunflowers and roses Lira have altogether is 45.
● 6 1/4 kilos of fruits.
● Edna could sew faster than Eva by 1 1/6 hours.
3. The problem asks to find the probability of selecting either a queen or a diamond
There are 52 cards in a standard deck.
Since there are 13 diamonds in a standard deck, the probability of drawing a diamond is
P(diamond) = 13/52
P(diamond) = 1/4
Since there are 4 queens in a standard deck, the probability of drawing a queen is
P(queen) = 4/52
P(queen) = 1/13
Since there is only 1 card that is both diamond and queen (queen of diamonds), the probability of drawing that is
P(diamond and queen) = 1/52
Solving for the probability of drawing a diamond or a queen
P(diamond or queen) = P(diamond) + P(queen) - P(diamond and queen)
P(diamond or queen = (1/4) + (1/13) - (1/52)
P(diamond or queen) = 4/13
Therefore, the probability of drawing a diamond or a queen is 4/13.
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Answers & Comments
Answer:
1. Diamond: 12/52
Face card: 12/52
King: 4/52
Any of the three: 12 + 12 + 4= 28/52= 7/13 = 53.8%
2. ● 217.5 pesos
● 1916 2/3÷2=958 1/3 pesos each sack of rice.
● The sunflowers and roses Lira have altogether is 45.
● 6 1/4 kilos of fruits.
● Edna could sew faster than Eva by 1 1/6 hours.
3. The problem asks to find the probability of selecting either a queen or a diamond
There are 52 cards in a standard deck.
Since there are 13 diamonds in a standard deck, the probability of drawing a diamond is
P(diamond) = 13/52
P(diamond) = 1/4
Since there are 4 queens in a standard deck, the probability of drawing a queen is
P(queen) = 4/52
P(queen) = 1/13
Since there is only 1 card that is both diamond and queen (queen of diamonds), the probability of drawing that is
P(diamond and queen) = 1/52
Solving for the probability of drawing a diamond or a queen
P(diamond or queen) = P(diamond) + P(queen) - P(diamond and queen)
P(diamond or queen = (1/4) + (1/13) - (1/52)
P(diamond or queen) = 4/13
Therefore, the probability of drawing a diamond or a queen is 4/13.