Hi there,

Mathematics

2 answers:

Strike441 [17]3 years ago

7 0

7 girls: 14 legs
7 backpacks * 7 (1big cats +7 kittens): 1568 legs (assuming 4 legs each)
1 table: 4 legs
total: 14+1568+4 = 1586 legs

Mrrafil [7]3 years ago

5 0

We have 7 people which result ----> 7 * 2 = 14 legs

Also, the table has 4 legs

The number of the big cats is 7 *7 =49 (big cats)

For every big cat we have ---> 49 * 4= 196 legs

For every big cat we have 7 small cats which means --> 49 * 7= 343 (small kittens)

The number of legs for small kittens is 343 * 4 = 1372 legs

The number of legs is:

14+4+196+1372= 1586 legs are in total

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A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped. (a

Natali [406]

Answer:

(a)

The probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

$p^4 (1-p)$

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

$(1-p)^4p$