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

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%.

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-((42)/(100)+(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) = }(18)/(100)+(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%.