Respuesta :
The probability of Kayla not drawing a yellow or a green bead is 30%
The probability of Kayla drawing a red or a green bead is 46%
Answer:
The probability of Kayla not drawing a yellow or a green bead is 30 %
The probability of Kayla drawing a red or a green bead is 46%.
Step-by-step explanation:
Number of yellow beads in the bowl = 42
Number of green beads in the bowl = 28
Number of white beads in the bowl = 12
Number of red beads in the bowl = 18
Total number of beads = 42 + 28 + 12 + 18
= 100
Probability of not drawing a yellow or green bead, P(not Y or not G) = 1 - Probability of drawing yellow or green bead
⇒ P( not Y or not G) = 1 - ( P(Y) + P(G) )
[tex]\text{P( not Y or not G) = }1-(\frac{42}{100}+\frac{28}{100})\\\\=1-(0.42+0.28)\\=1-0.70\\=0.30\\=30\%[/tex]
Probability of drawing a red or green bead, P(R or G)
⇒ P( R or G) = P(R) + P(G)
[tex]\text{P(R or ]G) = }\frac{18}{100}+\frac{28}{100}\\\\=0.18+0.28 \\=0.70\\=0.46\\=46\%[/tex]
Hence, The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is 46%.