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yuradex [85]
3 years ago
12

You draw a card from a standard deck of 52 cards. What is the probability of drawing a

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

1/13

Step-by-step explanation:

There are 4 king cards:

King of Hearts

King of Diamonds

King of Clover

King of Spades

This is 4 cards in a standard deck of 52. Set as a fraction 4/52.

Simplify:

(4/52)/(4/4) = 1/13

1/13 is the probability of drawing a KIng card.

~

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Dexter runs around a track at 10 laps in 20 minutes. How many laps per minute is that?
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Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population
Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

14 percent of the population of Arizona is 65 years or older.

This means that p = 0.14

A random sample of five persons from this population is taken.

This means that n = 5

The probability that less than 2 of the 5 are 65 years or older is :

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704

P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829

P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533

So the correct answer is:

A)0.8533

3 0
3 years ago
Hamish rides his bike at an average speed of 22 km/h. How far does he ride in:
Andrej [43]
1=55 km
2=16.5km
3=5.5km
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