You have a bucket with 500 coins. 499 of them are normal coins, but one of them is double headed. you pick a coin randomly from this bucker and flip it 5 times. if you picked a normal coin, what would be the probability of flipping 5 heads?

If a normal coin is picked then probability of flipping 5 heads = 0.031

Step-by-step explanation:

Given:

Number of coins = 500

Number of normal coins =499

Number of double headed coin = 1

Event A:

Pick a normal coin

Probability of event A to occur

Event B:

Normal coin is flipped 5 times to get head.

Probability of flipping one head at a time =

Probability of event B to occur (flipping 5 heads)

P(B) =  

Probability of event A and B to occur together

If a normal coin is picked then probability of flipping 5 heads = 0.031

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".