+83 3. A spinner has 3 congruent sectors colored red, blue, and yellow. The pointer is spun and a 4-sided die labeled 1, 2, 3, and 4 is rolled.
a) Find the probability of each event:
i) Landing on red and rolling a 4.
ii) Landing on blue and rolling an even number.
iii) Not landing on yellow and rolling an odd number.
b) Verify your answers to part a using a tree diagram
PLEASE I NEED HELP I'M SO BAD AT THIS UNIT !!!!
+23252 Since the spinner is evenly divided into red, blue, and yellow segments the probability of landing on any one of these is 1/3.
Since the die has four sides, the probability of landing on any of its sides is 1/4.
Landing on red (1/3) and rolling a 4 (1/4): found by multiplying (1/3) x (1/4)
Landing on blue (1/3) and rolling an even number(2/4) [because there are 2 even numbers and the probability of each one is 1/4): found by multipying (1/3) x (2/4)
Not landing on yellow (2/3) [because there are two ways -- red and blue -- of not landing on yellow] and rolling an odd number (2/4) [because there are 2 odd numbers]; found by multiplying (2/3) x (2/4)
