In general, the air temperature decreases 12 f for every 4000 ft. If hiker climbs 3000 ft by how much can she expect the temperature to decrease

Answer

PLZ MARK AS BRAINLIEST AND THX FOR THR BEST QUESTION

Of the three dice rolled, one may match the original pair and two are different, and this can occur three ways: ( 1/6 x 5/6 x 5/6 ) + ( 5/6 x 1/6 x 5/6 ) + ( 5/6 x 5/6 x 1/6 ) = 75/216

[ where 1/6 is the probability of matching the first two and 5/6 is the probability of not matching the first two ]

Or, two may match the original pair and one is different:

( 1/6 x 1/6 x 5/6 ) + ( 1/6 x 5/6 + 1/6 ) + ( 5/6 x 1/6 x 1/6 ) = 15/216

Or, all three may match the original pair: ( 1/6 x 1/6 x 1/6 ) = 1/216

Or, all three may be the same, but not match the original pair:

( 5/6 x 1/6 x 1/6 ) = 5/216

[ where 5/6 is the probability of getting a new number and 1/6 is the probability of matching that new number ]

Adding these together: 75/216 + 15/216 + 1/216 + 5/216 = 96/216 = 4/9