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A bowl contains 7 white pebbles and 5 black pebbles. A pebble is chosen and not replaced, then another pebble is picked. What is the probability that the first one is a white pebble and the second one a black pebble?

Respuesta :

Answer:

35/132

Step-by-step explanation:

7 white pebbles, 5 black pebbles

7 + 5 = 12

12 pebbles total

First drawing:

p(white) = 7/12

Second drawing:

The white pebble was not replaced, so the total now is 11 pebbles.

p(black) = 5/11

p(white then black) = 7/12 * 5/11 = 35/132

The probability that the first one is a white pebble and the second one a black pebble is 26.51%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A bowl contains 7 white pebbles and 5 black pebbles. A pebble is chosen and not replaced, then another pebble is picked.

Then the probability that the first one is a white pebble and the second one a black pebble will be

Total event = 12

Number of the white pebbles = 7

Number of the black pebbles = 5

Then the probability will be

[tex]\rm P = \dfrac{7}{12} \times \dfrac{5}{11}\\\\P = \dfracd{35}{132}\\\\P = 0.2651 \ or \ 26.51\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

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