We have to determine the probability that at least 2 of the dinners selected are pasta dinner. At least 2 of the dinners selected are pasta, it means that there can be 2 pasta, 3 , 4 or 5.

So, Probability with at least 2 of dinners

= $\frac{(^{12}C_{2} \times ^{10}C_{3})+ (^{12}C_{3} \times ^{10}C_{2})+(^{12}C_{4} \times ^{10}C_{1})+(^{12}C_{5})}{^{22}C_{5}}$

We will use the combination formula, which states $^nC_r = \frac{n!}{r! (n-r)!}$

= $\frac{(66 \times 120)+(220 \times 45)+(495 \times 10)+(792)}{26334}$

= $\frac{7920+9900+4950+792}{26334}$

= $\frac{23562}{26334}$

= 0.894

=0.90

Therefore, the probability that at least 2 of the dinners selected are pasta is 0.90

3 0

3 years ago

A card is drawn from a standard deck of 52 cards. What is the theoretical probability of drawing an eight? (Hint: A standard dec

siniylev [52]

LMGQEmikWJM ,Oml,himk h3iawkmJIOLKMJM gikhgWJHK MJG I

3 0

4 years ago

five daughter share a gift of $100. Each girl except the youngest gets $5 more than her next youngest sister. How much does the

Dvinal [7]

Answer:

$10

Step-by-step explanation:

Let x be the amount the youngest sister gets

x + (x+5) + (x+10) + (x+15) + (x+20) = 100

5x + 50 = 100

5x = 50

x = 10

4 0

4 years ago

shoe sells for a certain company were $25.9 billion. sales are expected to increase by about 20% in the next year. find the proj

ExtremeBDS [4]

25.9 × 1.2 = 31.08

$31.08 billion

3 0

3 years ago