Part 1 Twelve of the 50 digital video recorders (DVRs) in an inventory are known
ID: 3178702 • Letter: P
Question
Part 1
Twelve of the 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
The probability is ? Do not round
Part 2
Determine the number of outcomes in the event. Decide whether the event is a simple event or not.
A computer is used to select randomly a number between 1 and 9, inclusive. Event A is selecting a number less than 2.
Event A has ___??____ outcome(s).
Is this event simple?
__??__ because event A has __??___ one outcome.
Part 3
You randomly select one card from a standard deck. Event A is selecting a queen. Determine the number of outcomes in event A. Then decide whether the event is a simple event or not.
The number of outcomes in the event A is __?__
Is this event A a simple event?
Part 4
A probability experiment consists of rolling a fair 16-sided die. Find the probability of the event below.
rolling a 16
The probability is _?_
Part 5
Two cards are selected from a standard deck of 52 playing cards. The first is replaced before the second card is selected. Find the probability of selecting a diamond and then selecting a ten.
The probability of selecting a diamond and then selecting a ten is __?__
Part 6
Decide if the events are mutually exclusive.
Event A: Randomly selecting someone with entirely blonde hair
Event B: Randomly selecting someone with entirely black hair
Are the two events mutually exclusive?
A.
No, because someone with entirely blonde hair can have entirely black hair.
B.
Yes, because someone with entirely blonde hair cannot have entirely black hair.
C.
No, because someone with entirely blonde hair cannot have entirely black hair.
D.
Yes, because someone with entirely blonde hair can have entirely black hair.
Explanation / Answer
part 1 )
If 12/50 digital video recorders are known to be defective,
that leaves us with 38/50 digital video recorders that are not defective.
P(selecting item not defective) = 38/50
part 2) n(A) = 1 out of 9 less than 2
A simple event would be that it just picks a particular number
yes the event is simple
because it has only one outcome of 9 less than 2
part 3) number of queens in deck A = 4
number of cardS IN A PACK = 52
EVEnt A = 4/52 YES ITS SIMPLE EVENT
PART 4) PROBABILITY OF ROLLING A 16 SIDE SIDE IS
1-16 PROBABILITY LESS THAN 16 IS 8
PROBABILITY = 8/ 16 = 1/2
part 5)
Number of favourable outcomes i.e. ‘a card of diamond’ is 13 out of 52 cards.
Therefore, probability of getting ‘a card of diamond’ 13/52
now selecting a ten = 4/52
therefore probability = 13/52 * 4/52 = (1/4 )* (1/13) = 1/52
part 6) No, because someone with entirely blonde hair cannot have entirely black hair.