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:

bn,mn,n.vn.

step-by-step explanation:

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere