There are 20 children in the cast of a class play, and 8 of the children are boys. of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. if a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?a. 2/5b. 1/2c. 3/5d. 3/4

Respuesta :

it all looks confusing when we try to juggle with all those numbers in the head. The problem can be solved systematically by constructing a contingency table.
 
role/gender B G total
 speaking...... 4 4 8
 silent............ 4 8 12
 total............. 8 12 20
 
Probability of a child having a speaking part is therefore
 (4+4)/20=8/20=2/5
  a. 2/5

Answer:

Step-by-step explanation: