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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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