Question

Mrs William has a prized box with different colored tickets. Each ticket results in different type of prize.
3 green tickets
4 yellow tickets
3 purple tickets
Pedro will randomly select a ticket, replace it and then select another ticket. What is the probability that he chooses a yellow ticket and then a purple ticket ?

Answer 1

$\text{ Answer:} \text{ Probability that he chooses a yellow ticket and then a purple ticket }= \frac{3}{25}$

Step-by-step explanation:

Since we have given that

Number of green tickets =3

Number of yellow tickets = 4

Number of purple tickets = 3

Total number of tickets = 3+4+3=10

Now,

As we know that Pedro select a ticket and replace it and then select another ticket , total number of outcomes will never change it will be 10 only for each case.

Probability that he chooses a yellow ticket and then a purple ticket is given by

$\frac{4}{10}\times \frac{3}{10}\\\\=\frac{12}{100}\\\\=\frac{3}{25}$

Answer 2

The probability that he chooses a yellow ticket and then a purple ticket is 3/25.

Probability

First step

Total tickets=3+4+3

Total tickets=10

Second step

Probability of green tickets =3/10

Probability of yellow  tickets =4/10

Probability of purple  tickets =3/10

Third step

Probability of yellow and purple ticket=4/10×3/10

Probability of yellow and purple ticket=12/100

Probability of yellow and purple ticket=3/25

Inconclusion the probability that he chooses a yellow ticket and then a purple ticket is 3/25.

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