Answer :
Answer:
The two times Tyler selects a shirt from the suitcase are independent events
The probability that he selects a short-sleeved shirt both times is 9/16.
Step-by-step explanation:
We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.
To find the probability, we use the multiplication rule:
[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has
[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]
- 2022 Edmentum
The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.
What is Probability?
Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of short sleeved shirts are 6
Total number of shirts is 8
The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.
The probability that he picks a short sleeved shirt is (6/8)
The probability that he picks a short sleeved shirt both times is
= (6/8) *(6/8)
= (9 /16)
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