Determine whether the following individual events are independent or dependent.
ID: 3320944 • Letter: D
Question
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.Selecting 2 fully charged batteries in a row from a large batch in which 5% of the batteries are dead. Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
Selecting 2 fully charged batteries in a row from a large batch in which 5% of the batteries are dead.
Selecting 2 fully charged batteries in a row from a large batch in which 5% of the batteries are dead.
Explanation / Answer
SOlution:- The probability of selecting 2 fully charged batteries in a row from a large batch = 0.9025
The event of Selecting 2 fully charged batteries in a row from a large batch in which 5% of the batteries are dead is independent.
Probability of getting fully charged battery = 0.95
The probability of selecting 2 fully charged batteries in a row from a large batch = 0.95 × 0.95 = 0.9025
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