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nevsk [136]
3 years ago
9

You roll a standard number cube. Find p(number greater than 2)

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
A number cube contains the numbers 1-6. Without counting the numbers that are less than two, you will get 3, 4, 5, and 6.
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A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
Aneli [31]

a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
3 years ago
Rationalize the denominator of sqrt -9 / (4-7i) - (6-6i) ...?
Colt1911 [192]
√(- 9 ) / (( 4 - 7 i ) - ( 6 - 6 i )) = 3 i / ( 4 - 7 i - 6 + 6 i ) =
= 3 i / ( - 2 - i ) = - 3 i / ( 2 + i ) =
= \frac{-3i}{2 + i}* \frac{2 - i}{2 - i}= \\ =   \frac{-6i+3i ^{2} }{2- i^{2} }= \\ = \frac{-3-6i}{2+1}= \frac{-3-6i}{3}=
= - 1 - 2 i

5 0
3 years ago
The diagonals of a square are _____ each other
patriot [66]

Answer: d) perpendicular bisectors of

Step-by-step explanation:

4 0
2 years ago
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Find the mode of the following list of points earned on a 16 point quiz given during a finance class.
koban [17]

Answer:

7

Step-by-step explanation:

The mode is the most repeated number in the data set. In this case, that is 7 because it's repeated 3 times.

8 0
3 years ago
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The first term of the sequence is -15. what is the next term in the sequence?
Alenkinab [10]

Answer:

-10

Step-by-step explanation:

minus 5 in each number

7 0
3 years ago
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