Consider a bag that contains 225 coins of which 4 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below.

a: when one of the 225 coins is randomly selected, it is one of the 4 indian pennies.
b: when another one of the 225 coins is randomly selected (with replacement), it is also one of the 4 indian pennies.

a) determine whether events a and b are independent or dependent.

b) find p(a and b), the probability that events a and b both occur.

a) Independent

b) P(A and B) = 0.000316 or 0.0316%

Step-by-step explanation:

a) Since it is specified that the selection of the coin in event B happens with replacement, the events are independent because each event does not interfere in the probability of the other. If there was no replacement, whether a rare coin was selected or not in event A would impact event B and then event B would depend on A.

b) For each event, there is a 4 in 225 chance of selecting a rare Indian penny. Therefore, P (A and B) is:

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|