The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

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