Probability and Counting Methods

Find the probability of drawing 2 cards from a 52-card deck and both cards are face cards (King, Queen, Jack).

• .04977
• .05961
• .03967
• .04203

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(all teachers)

• .000395
• .000673
• .000412
• .000984

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(2 parents and 2 teachers)

• .17
• .16
• .15
• .14

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(all parents)

• .677
• .383
• .207
• .475

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(3 parents and 1 teacher)

• .837
• .213
• .576
• .456

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(all 3 are women)

• .8887
• .9612
• .0074
• .1143

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(all 3 are men)

• .0973
• .0224
• .0286
• .6009

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(2 men and 1 woman)

• .3429
• .2248
• .1988
• .4021

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(1 man and 2 women)

• .3429
• .5239
• .5143
• .4021

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(0 defective resistors)

• .279
• .219
• .287
• .255