Rodney packs 4 shirts for a trip at random. The closet contains 10 shirts: 5 striped, 3 plaid, 2 solid colored ones. What is the probability that he chose 2 striped and 2 plaid

1 / 7

Step-by-step explanation:

Given :

Number of shirts in closet = 10

Number of striped shirt = 5

Number of plaid = 3

Probability of choosing 2 plaid shirts and 2 stripped shirt

Probability = required outcome / Total possible outcomes

Total possible outcomes = 10C4

Required outcome :

2 plaid shirt from 3 = 3C2

2 stripped shirts from 5 = 5C2

Hence,

P(choosing 2 plaid and 2 stripped shirt) :

(3C2 * 5C2) / 10C4

Recall:

nCr = n! / (n-r)!r!

Using calculator :

(3C2 * 5C2) / 10C4

= (3 * 10) / 210

= 30 / 210

= 1 / 7

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: