You are certain to get a queen when selecting 49 cards from a shuffled deck. Express the indicated of likelihood as a probability value between 0 and 1
To determine the probability of getting a queen when selecting 49 cards from a shuffled deck, we need to calculate the ratio of favorable outcomes to total outcomes.
Favorable outcomes: There are 4 queens in a deck.
Total outcomes: When selecting 49 cards from a shuffled deck, there are 52 choose 49 ways to do so, which can be calculated as:
(52!)/(49!(52-49)!) = (52!)/(49!3!) = (52*51*50)/(3*2*1) = 22,100.
Therefore, the probability of getting a queen when selecting 49 cards is:
Favorable outcomes / Total outcomes = 4/22,100 ≈ 0.000181.
Expressing this as a probability value between 0 and 1, the probability is approximately 0.000181.