What is the probability of flipping both heads with two different coin
2 answers:
Answer: 1/4
Step-by-step explanation: Tossing two coins are independent events because the outcome of tossing one coin does not affect the outcome of tossing the other coin. We can find the probability of independent events by multiplying the probability of the first event by the probability of the second event. If we want to find the probability of tossing a heads and a heads, we multiply the probability of tossing a heads by the probability of tossing a heads.
Now, let's find the probability of tossing a heads on the first coin. Remember that a coin has two sides which are heads and tails. Since heads is one of the two sides, we can represent this as 1 out of 2 or 1/2. This would be the same for the second side as well which is 1/2.
Now, we can simply multiply 1/2 by 1/2 and we will get the fraction 1/4. Therefore, the probability of tossing heads and heads is 1/4.
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9514 1404 393
Answer:
- white chocolate chip: $17
- gingerbread: $19
Step-by-step explanation:
We can let x and y represent the costs of packages of white chocolate chip and gingerbread cookie dough, respectively. Then the two sales can be represented by ...
11x +2y = 225
8x +10y = 326
__
There are several ways a system of equations like this can be solved. One of my favorites is to use a graphing calculator (see attached).
We can also use substitution. We see that the coefficients of y are simply related, so we can use ...
2y = 225 -11x . . . . from equation 1
8x +5(2y) = 326 . . . rearrange equation 2
8x +5(225 -11x) = 326 . . . . substitute for 2y
-47x +1125 = 326 . . . . simplify
799 = 47x . . . . . . . add 47x-326
17 = x . . . . . . . . . . . divide by 47
2y = 225 -11(17) = 38
y = 19 . . . . . . divide by 2
The package costs are ...
white chocolate chip dough: $17
gingerbread dough: $19.
