Question

Riley is playing a game that requires rolling a number cube numbered 1-6 and spinning a spinner with 3 consonants and 1 vowel. The sections of the spinner are all the same size. What is the probability that Riley rolls a number less than 3 and lands on a consonant?

A: 3/8 B: 1/12 C:1/8 D:1/4

Answer 1

3/4 chance of consonant, 1/6 chance of 3, 1/6=16.6667, 75%=0.75 0.75*16.66667=12.5 1/8 C is correct because 12.5*8=100. Hope this helps!

Answer 2

Using the principle of independent probability, the probability of the event is 1/4

Sample space :

• Number cube = (1, 2, 3, 4, 5, 6)

• Spinner = (c, c, c, v)

Recall :

• Probability = required outcome / Total possible outcomes

1.) Probability of number less than 3 and a constant :

Numbers less than 3 = (1, 2)

• P(Number < 3) = 2 / 6 = 1/3

• P(consonant) = 3 / 4

P(number < 3 and constant) = 1/3 × 3/4 = 3/12 = 1/4

Therefore, the probability of the event is 1/4

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