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1 year ago

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Suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. What is the probability of rolling a

number less than 4 and spinning a consonant?
Write in a fraction

1 answer:

11Alexandr11 [23.1K]1 year ago

7 0

<u>Answer:</u>

The probability of rolling a number less than 4 and spinning a consonant is $\frac{3}{52}$ .

<u>Step-by-step explanation:</u>

The probability of rolling a number less than 4 and spinning a consonant

= P(rolling a number less than 4) x P(spinning a consonant)

Step 1:Finding P(rolling a number less than 4)

The total number of outcomes = 6

The number of possible outcomes for getting a number less than 4 = 3

So the probability = $\frac{3}{6} = \frac{1}{2}$

Step 2: Finding P(spinning a consonant)

Total number of outcomes = 26

The number of consonant = 21

Thus P(spinning a consonant) = $\frac{21}{26}$

Step 3: The probability of rolling a number less than 4 and spinning a consonant

From (1) and (2)

=> $\frac{ 1}{6} \times \frac{21}{26}$

=> $\frac{21}{156}$

=> $\frac{3}{52}$

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