Imagine that you're on a game show, and you're given the choice of a mystery prize behind one of three doors: behind one door is a car; behind the other two doors are goats. you pick a door, say no. 1, and the host, who knows what's behind the doors, opens another door, say no. 3, which has a goat. he then says to you, "do you want to stick with door no. 1 or switch to door no. 2? " what do you do? would you stick with your original pick or switch? would either choice give you a better chance to winning the car?

Switching would be better.

Step-by-step explanation:

If you pick a door at random, you have a 33.33% chance to get the car, and a 66.67% chance that the car is in the other two doors, 33.33% in the other two doors. (Let's pick door 1 for this example)

Saying that door 2 has a goat means that door 2 has a 0% chance of having a car. Where did that 33.33% go to? It went to door 3. Hence, door 3 now has a 66.67% chance of having a car.

Therefore, you should swap.

loloo

step-by-step explanation:

lololool

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week