Probability Picks - Rainbow Marbles

Probability Level pending

You have forty-seven different colored marbles in an opaque bag. Without looking in the bag, you are going to randomly pull out seven marbles from the bag. What is the likelihood of you pulling out Red, Orange, Yellow, Green, Blue, Indigo and Violet?

1 in 1429352 1 in 62891499 1 in 1533939.008 1 in 5717409

1 solution

Samrit Pramanik
Jul 9, 2018

There are $47$ different coloured marbles. Our favourable case is the particular $7$ colored marble out of $47$ . So these $7$ colours can be chosen in $\displaystyle {47 \choose 7}=62891499$ ways. So the likelihood is $1$ in $62891499$

That's really nice Samrit, LOL! But can you tell me what calculation did you use to arrive at the answer or did you guess the answer? :)

Ingram Lokai - 2 years, 11 months ago

well, $\displaystyle {47 \choose 7}=\dfrac{47!}{7!40!}$ , then I used calculator.

Samrit Pramanik - 2 years, 11 months ago

That's cool man.

Ingram Lokai - 2 years, 11 months ago

Probability Picks - Rainbow Marbles

1 solution

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