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Sagot :
Probability of randomly selecting four committee members with only sophomores or juniors is equal to 0.77.
As given in the question,
Total number of group members including 3 freshmen, 4 sophomores, 4 juniors, and 3 seniors = 14
Number of members required to form a committee = 4
Condition apply:
Committee consists of only sophomores or juniors
Let 'A' represents the sophomores
'B' represents the juniors
Total number of possible outcomes = ¹⁴C₄
Event A and B are independent of each other.
Favourable outcomes are :
2(⁴C₀⁴C₄ + ⁴C₁⁴C₃) +⁴C₂⁴C₂
Required probability
= 2(⁴C₀⁴C₄ + ⁴C₁⁴C₃) +⁴C₂⁴C₂ / ( ¹⁴C₄)
= [2( 1 + 16) + 36 ] / ( 7 × 13 )
= 70 / 91
=0.77
Therefore, the probability of the committee consists of only sophomores or juniors is equal to 0.77.
Learn more about probability here
brainly.com/question/11234923
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