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# 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.

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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.

Apr 14, 2020

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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)

Apr 14, 2020