Question

A card is pulled from a stack of 15 cards labeled 1–15 and the spinner shown is spun. Find each probability.

21. P(less than 10 and red)

22. P(odd and red or blue)

23. P(even and blue)

24. P(prime number and blue)

Answer 1

Explanation:

In probability "and" is multiplication and "or" is addition

P(Less than 10) = 9/15 =3/5

P( of red) = 1/4

P(Less than 10 and red) = 3/5 × 1/4 =3/20

P(Odd cards) =1,3,5,7,9,11,13,15 =8/15

P(Red or Blue) = 1/4 + 1/4 = 1/2

P (Odd and red or blue) = 8/15 ×1/2 =8/30 = 4/15

P(even) = 2,4,6,8,10,12,14 = 7/15

P(Blue) = 1/4

P(even and blue) = 7/15 × 1/4 = 7/60

P(Prime numbers) = 2,3,5,7,11,13 = 6/15 = 2/5

P(Prime numbers and Blue) = 2/5 × 1/4 =1/10