Question

The Art Competition has entries from three painters: Pam, Pia and Pablo
Pam put in 15 paintings, 4% of her works have won First Prize.
Pia put in 5 paintings, 6% of her works have won First Prize.
Pablo put in 10 paintings, 3% of his works have won First Prize.
What is the chance that Pam will win First Prize?​

Answer 1

Given : The Art Competition has entries from three painters: Pam, Pia and Pablo

To Find : chance that Pam will win First Prize?​

Solution:

Pam put in 15 paintings, 4% of her works have won First Prize.

=> (4/100)15 = 0.6

Pia put in 5 paintings, 6% of her works have won First Prize.

=> (6/100)5 = 0.3

Pablo put in 10 paintings, 3% of his works have won First Prize.

=> (3/100)10 = 0.3

0.6 + 0.3 + 0.3 = 1.2

chance that Pam will win First Prize   = 0.6/1.2  = 1/2  

1/2 = 0.5 = 50 %

50 %  chance that Pam will win First Prize

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