Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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)

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

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

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