Which situation has a probability of 1/2? A. picking the number “5” from the integers 1 to 10

B. rolling an odd number on a fair 6-sided number cube

C. randomly choosing the letter “s” from the word “Mississippi”

D. randomly choosing a boy out of a class containing 8 boys and 12 girls

a

Step-by-step explanation:

1/2 of 10 is 5

b

Step-by-step explanation:

there are 6 numbers on a regular dice. 3 even, 3 odd

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°