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a bag contains 24 pieces of blue tshirts,10 pieces of green tshirts and x pieces of yellow tshirts. a tshirts is picked at random from the bag.
1)if the probability of choosing a blue tshirts is 2/5,find the value of x.
2)calculate the number of yellow tshirts that should be put into the bag so that the probability of choosing a yellow tshirts is 1/2.

Respuesta :

konrad509
[tex]|\Omega|=34+x[/tex]

1)
[tex]|A|=24\\ P(A)=\dfrac{24}{34+x}=\dfrac{2}{5}\\ \dfrac{24}{34+x}=\dfrac{2}{5}\\ 68+2x=120\\ 2x=52\\ x=26 [/tex]

2)
[tex]|A|=x\\ P(A)=\dfrac{x}{34+x}=\dfrac{1}{2}\\ \dfrac{x}{34+x}=\dfrac{1}{2}\\ 2x=34+x\\ x=34[/tex]

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