Question

Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl.
The probability of Kayla not drawing a yellow or a green bead is
%. The probability of Kayla drawing a red or a green bead is
%.

Answer 1

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) )

$\text{P( not Y or not G) = }1-(\frac{42}{100}+\frac{28}{100})\\\\=1-(0.42+0.28)\\=1-0.70\\=0.30\\=30\%$

Probability of drawing a red or green bead, P(R or G)

⇒ P( R or G) = P(R) + P(G)

$\text{P(R or ]G) = }\frac{18}{100}+\frac{28}{100}\\\\=0.18+0.28 \\=0.70\\=0.46\\=46\%$

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%.

Answer 2

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%