10 boys equals 70 pockets
7 girls equals 77 pockets
that equals 147 pockets and 17 heads
Part (a)
The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26
<h3>Answer: 0.26</h3>
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Part (b)
Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3
<h3>Answer: 0.3</h3>
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Part (c)
<h3>Answer: Choice A) </h3>
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.
Answer: The probability that the fruit is an orange or a pear is 
.
Step-by-step explanation:
Given : Emily has 12 fruits in her bowl.
She has 3 apples, 5 bananas, 1 pear and 3 oranges.
A fruit is selected at random.
P(orange) = 
P(pear)= 
Since both events of selecting orange and pear are mutually exclusive , so
The probability that the fruit is an orange or a pear = P(orange) + P(pear)
Therefore , the probability that the fruit is an orange or a pear is .
<h3>Answer: Choice D</h3>
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Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.
