Question

g Kristina Karganova invites 17 relatives to a​ party: her​ mother, ​aunts, ​uncles, ​brothers, 1 male​ cousin, and female cousins. If the chances of any one guest arriving first are equally​ likely, find the probabilities that the first guest to arrive is as follows. ​(a) A brother or an uncle ​(b) A brother or a cousin ​(c) A brother or her mother ​(a) The total number of outcomes is nothing and the number of outcomes in the event is nothing.

Answer 1

Answer:

7 / 17 ;

10 / 17 ;

5 / 17

Step-by-step explanation:

Guests :

Mother = 1

Aunts = 3

Uncles = 3

Brothers = 4

Male cousin = 1

Female cousin = 5

_________________

Total guests = 17

Since each of the guests have an equal probability of arrival :

Probability that first guest to arrive :

Brother or uncle :

Number of brothers =4

Number of uncles = 3

P(brother or uncle) = required outcome / Total possible outcomes

Required outcome (number of brothers + uncles) = (4 + 3) = 7

Total possible outcomes = total guests = 17

P(brother or uncle) = 7 / 17

2.)

P(brother or cousin) :

Required outcome = (number of brothers + cousins) = (4 + 1 + 5) = 10

Total possible outcomes = total guests = 17

P(brother or cousin) = 10/17

3.)

P(brother or mother) ;

Required outcome = (number of brothers + mother) = (4+1) = 5

Total possible outcomes = total guests = 17

P(brother or mother) = required outcome / Total possible outcomes = 5 / 17